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Finding the Third Proportional to 108,006.75 and 161,578.13

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Solution

The third proportional to 108,006.75 and 161,578.13 is: 241,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,006.75 : 161,578.13 = 161,578.13 : x
  2. Step 2: Convert to fraction form
    108,006.75/161,578.13 = 161,578.13/x
  3. Step 3: Cross multiply
    108,006.75x = 161,578.13 × 161,578.13
  4. Step 4: Simplify right side
    108,006.75x = 26,107,490,478.52
  5. Step 5: Solve for x
    x = 26,107,490,478.52/108,006.75
  6. Step 6: Final answer
    x = 241,720.92

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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.