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Finding the Third Proportional to 109,624 and 148,542

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Solution

The third proportional to 109,624 and 148,542 is: 201,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624 : 148,542 = 148,542 : x
  2. Step 2: Convert to fraction form
    109,624/148,542 = 148,542/x
  3. Step 3: Cross multiply
    109,624x = 148,542 × 148,542
  4. Step 4: Simplify right side
    109,624x = 22,064,725,764
  5. Step 5: Solve for x
    x = 22,064,725,764/109,624
  6. Step 6: Final answer
    x = 201,276.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.