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Finding the Third Proportional to 125,726 and 271,134

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Solution

The third proportional to 125,726 and 271,134 is: 584,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,726 : 271,134 = 271,134 : x
  2. Step 2: Convert to fraction form
    125,726/271,134 = 271,134/x
  3. Step 3: Cross multiply
    125,726x = 271,134 × 271,134
  4. Step 4: Simplify right side
    125,726x = 73,513,645,956
  5. Step 5: Solve for x
    x = 73,513,645,956/125,726
  6. Step 6: Final answer
    x = 584,713.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.