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Finding the Third Proportional to 83,691 and 182,148

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Solution

The third proportional to 83,691 and 182,148 is: 396,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691 : 182,148 = 182,148 : x
  2. Step 2: Convert to fraction form
    83,691/182,148 = 182,148/x
  3. Step 3: Cross multiply
    83,691x = 182,148 × 182,148
  4. Step 4: Simplify right side
    83,691x = 33,177,893,904
  5. Step 5: Solve for x
    x = 33,177,893,904/83,691
  6. Step 6: Final answer
    x = 396,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.