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Finding the Third Proportional to 57,646 and 125,392

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Solution

The third proportional to 57,646 and 125,392 is: 272,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,646 : 125,392 = 125,392 : x
  2. Step 2: Convert to fraction form
    57,646/125,392 = 125,392/x
  3. Step 3: Cross multiply
    57,646x = 125,392 × 125,392
  4. Step 4: Simplify right side
    57,646x = 15,723,153,664
  5. Step 5: Solve for x
    x = 15,723,153,664/57,646
  6. Step 6: Final answer
    x = 272,753.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.