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Finding the Third Proportional to 114,564 and 251,542

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Solution

The third proportional to 114,564 and 251,542 is: 552,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564 : 251,542 = 251,542 : x
  2. Step 2: Convert to fraction form
    114,564/251,542 = 251,542/x
  3. Step 3: Cross multiply
    114,564x = 251,542 × 251,542
  4. Step 4: Simplify right side
    114,564x = 63,273,377,764
  5. Step 5: Solve for x
    x = 63,273,377,764/114,564
  6. Step 6: Final answer
    x = 552,297.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.