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Finding the Third Proportional to 72.14 and 112.01

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Solution

The third proportional to 72.14 and 112.01 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 112.01 = 112.01 : x
  2. Step 2: Convert to fraction form
    72.14/112.01 = 112.01/x
  3. Step 3: Cross multiply
    72.14x = 112.01 × 112.01
  4. Step 4: Simplify right side
    72.14x = 12,545.75
  5. Step 5: Solve for x
    x = 12,545.75/72.14
  6. Step 6: Final answer
    x = 173.91

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