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Finding the Third Proportional to 57,280 and 125,767

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Solution

The third proportional to 57,280 and 125,767 is: 276,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,280 : 125,767 = 125,767 : x
  2. Step 2: Convert to fraction form
    57,280/125,767 = 125,767/x
  3. Step 3: Cross multiply
    57,280x = 125,767 × 125,767
  4. Step 4: Simplify right side
    57,280x = 15,817,338,289
  5. Step 5: Solve for x
    x = 15,817,338,289/57,280
  6. Step 6: Final answer
    x = 276,140.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.