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Finding the Third Proportional to 108,002 and 168,231

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Solution

The third proportional to 108,002 and 168,231 is: 262,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002 : 168,231 = 168,231 : x
  2. Step 2: Convert to fraction form
    108,002/168,231 = 168,231/x
  3. Step 3: Cross multiply
    108,002x = 168,231 × 168,231
  4. Step 4: Simplify right side
    108,002x = 28,301,669,361
  5. Step 5: Solve for x
    x = 28,301,669,361/108,002
  6. Step 6: Final answer
    x = 262,047.64

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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.