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Finding the Third Proportional to 108,013.50 and 161,655.75

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Solution

The third proportional to 108,013.50 and 161,655.75 is: 241,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,013.50 : 161,655.75 = 161,655.75 : x
  2. Step 2: Convert to fraction form
    108,013.50/161,655.75 = 161,655.75/x
  3. Step 3: Cross multiply
    108,013.50x = 161,655.75 × 161,655.75
  4. Step 4: Simplify right side
    108,013.50x = 26,132,581,508.06
  5. Step 5: Solve for x
    x = 26,132,581,508.06/108,013.50
  6. Step 6: Final answer
    x = 241,938.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.