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Finding the Third Proportional to 81,934 and 112,132

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Solution

The third proportional to 81,934 and 112,132 is: 153,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,934 : 112,132 = 112,132 : x
  2. Step 2: Convert to fraction form
    81,934/112,132 = 112,132/x
  3. Step 3: Cross multiply
    81,934x = 112,132 × 112,132
  4. Step 4: Simplify right side
    81,934x = 12,573,585,424
  5. Step 5: Solve for x
    x = 12,573,585,424/81,934
  6. Step 6: Final answer
    x = 153,459.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.