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Finding the Third Proportional to 71.30 and 106.95

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Solution

The third proportional to 71.30 and 106.95 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 106.95 = 106.95 : x
  2. Step 2: Convert to fraction form
    71.30/106.95 = 106.95/x
  3. Step 3: Cross multiply
    71.30x = 106.95 × 106.95
  4. Step 4: Simplify right side
    71.30x = 11,437.30
  5. Step 5: Solve for x
    x = 11,437.30/71.30
  6. Step 6: Final answer
    x = 160.42

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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.