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Finding the Third Proportional to 57,143.25 and 125,359.88

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Solution

The third proportional to 57,143.25 and 125,359.88 is: 275,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.25 : 125,359.88 = 125,359.88 : x
  2. Step 2: Convert to fraction form
    57,143.25/125,359.88 = 125,359.88/x
  3. Step 3: Cross multiply
    57,143.25x = 125,359.88 × 125,359.88
  4. Step 4: Simplify right side
    57,143.25x = 15,715,098,260.02
  5. Step 5: Solve for x
    x = 15,715,098,260.02/57,143.25
  6. Step 6: Final answer
    x = 275,012.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.