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Finding the Third Proportional to 108,853.50 and 168,134.50

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Solution

The third proportional to 108,853.50 and 168,134.50 is: 259,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853.50 : 168,134.50 = 168,134.50 : x
  2. Step 2: Convert to fraction form
    108,853.50/168,134.50 = 168,134.50/x
  3. Step 3: Cross multiply
    108,853.50x = 168,134.50 × 168,134.50
  4. Step 4: Simplify right side
    108,853.50x = 28,269,210,090.25
  5. Step 5: Solve for x
    x = 28,269,210,090.25/108,853.50
  6. Step 6: Final answer
    x = 259,699.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.