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Finding the Third Proportional to 57,592.88 and 85,945.13

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Solution

The third proportional to 57,592.88 and 85,945.13 is: 128,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,592.88 : 85,945.13 = 85,945.13 : x
  2. Step 2: Convert to fraction form
    57,592.88/85,945.13 = 85,945.13/x
  3. Step 3: Cross multiply
    57,592.88x = 85,945.13 × 85,945.13
  4. Step 4: Simplify right side
    57,592.88x = 7,386,564,511.27
  5. Step 5: Solve for x
    x = 7,386,564,511.27/57,592.88
  6. Step 6: Final answer
    x = 128,254.83

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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.