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Finding the Third Proportional to 71,734.50 and 107,776.13

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Solution

The third proportional to 71,734.50 and 107,776.13 is: 161,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734.50 : 107,776.13 = 107,776.13 : x
  2. Step 2: Convert to fraction form
    71,734.50/107,776.13 = 107,776.13/x
  3. Step 3: Cross multiply
    71,734.50x = 107,776.13 × 107,776.13
  4. Step 4: Simplify right side
    71,734.50x = 11,615,693,120.02
  5. Step 5: Solve for x
    x = 11,615,693,120.02/71,734.50
  6. Step 6: Final answer
    x = 161,926.17

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