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Finding the Third Proportional to 72.97 and 112.86

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Solution

The third proportional to 72.97 and 112.86 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.97 : 112.86 = 112.86 : x
  2. Step 2: Convert to fraction form
    72.97/112.86 = 112.86/x
  3. Step 3: Cross multiply
    72.97x = 112.86 × 112.86
  4. Step 4: Simplify right side
    72.97x = 12,737.24
  5. Step 5: Solve for x
    x = 12,737.24/72.97
  6. Step 6: Final answer
    x = 174.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.