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Finding the Third Proportional to 84,742 and 112,452

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Solution

The third proportional to 84,742 and 112,452 is: 149,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,742 : 112,452 = 112,452 : x
  2. Step 2: Convert to fraction form
    84,742/112,452 = 112,452/x
  3. Step 3: Cross multiply
    84,742x = 112,452 × 112,452
  4. Step 4: Simplify right side
    84,742x = 12,645,452,304
  5. Step 5: Solve for x
    x = 12,645,452,304/84,742
  6. Step 6: Final answer
    x = 149,222.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.