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Finding the Third Proportional to 71.19 and 106.79

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Solution

The third proportional to 71.19 and 106.79 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 106.79 = 106.79 : x
  2. Step 2: Convert to fraction form
    71.19/106.79 = 106.79/x
  3. Step 3: Cross multiply
    71.19x = 106.79 × 106.79
  4. Step 4: Simplify right side
    71.19x = 11,403.49
  5. Step 5: Solve for x
    x = 11,403.49/71.19
  6. Step 6: Final answer
    x = 160.18

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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.