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Finding the Third Proportional to 125,726 and 271,135

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Solution

The third proportional to 125,726 and 271,135 is: 584,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,726 : 271,135 = 271,135 : x
  2. Step 2: Convert to fraction form
    125,726/271,135 = 271,135/x
  3. Step 3: Cross multiply
    125,726x = 271,135 × 271,135
  4. Step 4: Simplify right side
    125,726x = 73,514,188,225
  5. Step 5: Solve for x
    x = 73,514,188,225/125,726
  6. Step 6: Final answer
    x = 584,717.47

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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.