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Finding the Third Proportional to 114,701 and 251,542

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Solution

The third proportional to 114,701 and 251,542 is: 551,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,701 : 251,542 = 251,542 : x
  2. Step 2: Convert to fraction form
    114,701/251,542 = 251,542/x
  3. Step 3: Cross multiply
    114,701x = 251,542 × 251,542
  4. Step 4: Simplify right side
    114,701x = 63,273,377,764
  5. Step 5: Solve for x
    x = 63,273,377,764/114,701
  6. Step 6: Final answer
    x = 551,637.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.