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Finding the Third Proportional to 57,446 and 125,560

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Solution

The third proportional to 57,446 and 125,560 is: 274,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446 : 125,560 = 125,560 : x
  2. Step 2: Convert to fraction form
    57,446/125,560 = 125,560/x
  3. Step 3: Cross multiply
    57,446x = 125,560 × 125,560
  4. Step 4: Simplify right side
    57,446x = 15,765,313,600
  5. Step 5: Solve for x
    x = 15,765,313,600/57,446
  6. Step 6: Final answer
    x = 274,437.10

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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.