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Finding the Third Proportional to 57,350.25 and 87,240.38

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Solution

The third proportional to 57,350.25 and 87,240.38 is: 132,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,350.25 : 87,240.38 = 87,240.38 : x
  2. Step 2: Convert to fraction form
    57,350.25/87,240.38 = 87,240.38/x
  3. Step 3: Cross multiply
    57,350.25x = 87,240.38 × 87,240.38
  4. Step 4: Simplify right side
    57,350.25x = 7,610,883,030.14
  5. Step 5: Solve for x
    x = 7,610,883,030.14/57,350.25
  6. Step 6: Final answer
    x = 132,708.80

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Why These Related Problems?

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