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Finding the Third Proportional to 83 and 113

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Solution

The third proportional to 83 and 113 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 113 = 113 : x
  2. Step 2: Convert to fraction form
    83/113 = 113/x
  3. Step 3: Cross multiply
    83x = 113 × 113
  4. Step 4: Simplify right side
    83x = 12,769
  5. Step 5: Solve for x
    x = 12,769/83
  6. Step 6: Final answer
    x = 153.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.