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Finding the Third Proportional to 57,395.94 and 86,151.57

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Solution

The third proportional to 57,395.94 and 86,151.57 is: 129,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,395.94 : 86,151.57 = 86,151.57 : x
  2. Step 2: Convert to fraction form
    57,395.94/86,151.57 = 86,151.57/x
  3. Step 3: Cross multiply
    57,395.94x = 86,151.57 × 86,151.57
  4. Step 4: Simplify right side
    57,395.94x = 7,422,092,730.78
  5. Step 5: Solve for x
    x = 7,422,092,730.78/57,395.94
  6. Step 6: Final answer
    x = 129,313.91

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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.