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Finding the Third Proportional to 69,542 and 149,566

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Solution

The third proportional to 69,542 and 149,566 is: 321,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542 : 149,566 = 149,566 : x
  2. Step 2: Convert to fraction form
    69,542/149,566 = 149,566/x
  3. Step 3: Cross multiply
    69,542x = 149,566 × 149,566
  4. Step 4: Simplify right side
    69,542x = 22,369,988,356
  5. Step 5: Solve for x
    x = 22,369,988,356/69,542
  6. Step 6: Final answer
    x = 321,675.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.