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Finding the Third Proportional to 125,222 and 271,675

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Solution

The third proportional to 125,222 and 271,675 is: 589,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,222 : 271,675 = 271,675 : x
  2. Step 2: Convert to fraction form
    125,222/271,675 = 271,675/x
  3. Step 3: Cross multiply
    125,222x = 271,675 × 271,675
  4. Step 4: Simplify right side
    125,222x = 73,807,305,625
  5. Step 5: Solve for x
    x = 73,807,305,625/125,222
  6. Step 6: Final answer
    x = 589,411.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.