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Finding the Third Proportional to 57,137 and 125,347

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Solution

The third proportional to 57,137 and 125,347 is: 274,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137 : 125,347 = 125,347 : x
  2. Step 2: Convert to fraction form
    57,137/125,347 = 125,347/x
  3. Step 3: Cross multiply
    57,137x = 125,347 × 125,347
  4. Step 4: Simplify right side
    57,137x = 15,711,870,409
  5. Step 5: Solve for x
    x = 15,711,870,409/57,137
  6. Step 6: Final answer
    x = 274,985.92

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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.