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Finding the Third Proportional to 113 and 169

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Solution

The third proportional to 113 and 169 is: 252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113 : 169 = 169 : x
  2. Step 2: Convert to fraction form
    113/169 = 169/x
  3. Step 3: Cross multiply
    113x = 169 × 169
  4. Step 4: Simplify right side
    113x = 28,561
  5. Step 5: Solve for x
    x = 28,561/113
  6. Step 6: Final answer
    x = 252.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.