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Finding the Third Proportional to 71.32 and 109.15

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Solution

The third proportional to 71.32 and 109.15 is: 167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 109.15 = 109.15 : x
  2. Step 2: Convert to fraction form
    71.32/109.15 = 109.15/x
  3. Step 3: Cross multiply
    71.32x = 109.15 × 109.15
  4. Step 4: Simplify right side
    71.32x = 11,913.06
  5. Step 5: Solve for x
    x = 11,913.06/71.32
  6. Step 6: Final answer
    x = 167.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.