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Finding the Third Proportional to 58,281 and 125,059

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Solution

The third proportional to 58,281 and 125,059 is: 268,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,281 : 125,059 = 125,059 : x
  2. Step 2: Convert to fraction form
    58,281/125,059 = 125,059/x
  3. Step 3: Cross multiply
    58,281x = 125,059 × 125,059
  4. Step 4: Simplify right side
    58,281x = 15,639,753,481
  5. Step 5: Solve for x
    x = 15,639,753,481/58,281
  6. Step 6: Final answer
    x = 268,350.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.