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Finding the Third Proportional to 125,687 and 271,054

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Solution

The third proportional to 125,687 and 271,054 is: 584,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,687 : 271,054 = 271,054 : x
  2. Step 2: Convert to fraction form
    125,687/271,054 = 271,054/x
  3. Step 3: Cross multiply
    125,687x = 271,054 × 271,054
  4. Step 4: Simplify right side
    125,687x = 73,470,270,916
  5. Step 5: Solve for x
    x = 73,470,270,916/125,687
  6. Step 6: Final answer
    x = 584,549.48

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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.