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Finding the Third Proportional to 125,542 and 194,616

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Solution

The third proportional to 125,542 and 194,616 is: 301,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,542 : 194,616 = 194,616 : x
  2. Step 2: Convert to fraction form
    125,542/194,616 = 194,616/x
  3. Step 3: Cross multiply
    125,542x = 194,616 × 194,616
  4. Step 4: Simplify right side
    125,542x = 37,875,387,456
  5. Step 5: Solve for x
    x = 37,875,387,456/125,542
  6. Step 6: Final answer
    x = 301,694.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.