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Finding the Third Proportional to 57,139.50 and 85,654.50

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Solution

The third proportional to 57,139.50 and 85,654.50 is: 128,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.50 : 85,654.50 = 85,654.50 : x
  2. Step 2: Convert to fraction form
    57,139.50/85,654.50 = 85,654.50/x
  3. Step 3: Cross multiply
    57,139.50x = 85,654.50 × 85,654.50
  4. Step 4: Simplify right side
    57,139.50x = 7,336,693,370.25
  5. Step 5: Solve for x
    x = 7,336,693,370.25/57,139.50
  6. Step 6: Final answer
    x = 128,399.68

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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.