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Finding the Third Proportional to 83,317 and 118,743

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Solution

The third proportional to 83,317 and 118,743 is: 169,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317 : 118,743 = 118,743 : x
  2. Step 2: Convert to fraction form
    83,317/118,743 = 118,743/x
  3. Step 3: Cross multiply
    83,317x = 118,743 × 118,743
  4. Step 4: Simplify right side
    83,317x = 14,099,900,049
  5. Step 5: Solve for x
    x = 14,099,900,049/83,317
  6. Step 6: Final answer
    x = 169,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.