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Finding the Third Proportional to 53,318.25 and 81,129.38

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Solution

The third proportional to 53,318.25 and 81,129.38 is: 123,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,318.25 : 81,129.38 = 81,129.38 : x
  2. Step 2: Convert to fraction form
    53,318.25/81,129.38 = 81,129.38/x
  3. Step 3: Cross multiply
    53,318.25x = 81,129.38 × 81,129.38
  4. Step 4: Simplify right side
    53,318.25x = 6,581,975,487.89
  5. Step 5: Solve for x
    x = 6,581,975,487.89/53,318.25
  6. Step 6: Final answer
    x = 123,446.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.