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Finding the Third Proportional to 57,592.27 and 85,944.16

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Solution

The third proportional to 57,592.27 and 85,944.16 is: 128,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,592.27 : 85,944.16 = 85,944.16 : x
  2. Step 2: Convert to fraction form
    57,592.27/85,944.16 = 85,944.16/x
  3. Step 3: Cross multiply
    57,592.27x = 85,944.16 × 85,944.16
  4. Step 4: Simplify right side
    57,592.27x = 7,386,399,336.40
  5. Step 5: Solve for x
    x = 7,386,399,336.40/57,592.27
  6. Step 6: Final answer
    x = 128,253.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.