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Finding the Third Proportional to 80,963 and 113,217

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Solution

The third proportional to 80,963 and 113,217 is: 158,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,963 : 113,217 = 113,217 : x
  2. Step 2: Convert to fraction form
    80,963/113,217 = 113,217/x
  3. Step 3: Cross multiply
    80,963x = 113,217 × 113,217
  4. Step 4: Simplify right side
    80,963x = 12,818,089,089
  5. Step 5: Solve for x
    x = 12,818,089,089/80,963
  6. Step 6: Final answer
    x = 158,320.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.