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Finding the Third Proportional to 108,000.21 and 168,228.14

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Solution

The third proportional to 108,000.21 and 168,228.14 is: 262,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000.21 : 168,228.14 = 168,228.14 : x
  2. Step 2: Convert to fraction form
    108,000.21/168,228.14 = 168,228.14/x
  3. Step 3: Cross multiply
    108,000.21x = 168,228.14 × 168,228.14
  4. Step 4: Simplify right side
    108,000.21x = 28,300,707,298.14
  5. Step 5: Solve for x
    x = 28,300,707,298.14/108,000.21
  6. Step 6: Final answer
    x = 262,043.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.