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Finding the Third Proportional to 119,575 and 251,542

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Solution

The third proportional to 119,575 and 251,542 is: 529,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,575 : 251,542 = 251,542 : x
  2. Step 2: Convert to fraction form
    119,575/251,542 = 251,542/x
  3. Step 3: Cross multiply
    119,575x = 251,542 × 251,542
  4. Step 4: Simplify right side
    119,575x = 63,273,377,764
  5. Step 5: Solve for x
    x = 63,273,377,764/119,575
  6. Step 6: Final answer
    x = 529,152.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.