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Finding the Third Proportional to 112,692 and 157,542

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Solution

The third proportional to 112,692 and 157,542 is: 220,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,692 : 157,542 = 157,542 : x
  2. Step 2: Convert to fraction form
    112,692/157,542 = 157,542/x
  3. Step 3: Cross multiply
    112,692x = 157,542 × 157,542
  4. Step 4: Simplify right side
    112,692x = 24,819,481,764
  5. Step 5: Solve for x
    x = 24,819,481,764/112,692
  6. Step 6: Final answer
    x = 220,241.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.