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Finding the Third Proportional to 71.93 and 96.42

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Solution

The third proportional to 71.93 and 96.42 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 96.42 = 96.42 : x
  2. Step 2: Convert to fraction form
    71.93/96.42 = 96.42/x
  3. Step 3: Cross multiply
    71.93x = 96.42 × 96.42
  4. Step 4: Simplify right side
    71.93x = 9,297.18
  5. Step 5: Solve for x
    x = 9,297.18/71.93
  6. Step 6: Final answer
    x = 129.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.