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Finding the Third Proportional to 73,891 and 108,217

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Solution

The third proportional to 73,891 and 108,217 is: 158,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,891 : 108,217 = 108,217 : x
  2. Step 2: Convert to fraction form
    73,891/108,217 = 108,217/x
  3. Step 3: Cross multiply
    73,891x = 108,217 × 108,217
  4. Step 4: Simplify right side
    73,891x = 11,710,919,089
  5. Step 5: Solve for x
    x = 11,710,919,089/73,891
  6. Step 6: Final answer
    x = 158,489.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.