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Finding the Third Proportional to 57,836 and 125,446

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Solution

The third proportional to 57,836 and 125,446 is: 272,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,836 : 125,446 = 125,446 : x
  2. Step 2: Convert to fraction form
    57,836/125,446 = 125,446/x
  3. Step 3: Cross multiply
    57,836x = 125,446 × 125,446
  4. Step 4: Simplify right side
    57,836x = 15,736,698,916
  5. Step 5: Solve for x
    x = 15,736,698,916/57,836
  6. Step 6: Final answer
    x = 272,091.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.