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Finding the Third Proportional to 58,540 and 125,972

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Solution

The third proportional to 58,540 and 125,972 is: 271,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540 : 125,972 = 125,972 : x
  2. Step 2: Convert to fraction form
    58,540/125,972 = 125,972/x
  3. Step 3: Cross multiply
    58,540x = 125,972 × 125,972
  4. Step 4: Simplify right side
    58,540x = 15,868,944,784
  5. Step 5: Solve for x
    x = 15,868,944,784/58,540
  6. Step 6: Final answer
    x = 271,078.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.