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Finding the Third Proportional to 74.04 and 112.17

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Solution

The third proportional to 74.04 and 112.17 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 112.17 = 112.17 : x
  2. Step 2: Convert to fraction form
    74.04/112.17 = 112.17/x
  3. Step 3: Cross multiply
    74.04x = 112.17 × 112.17
  4. Step 4: Simplify right side
    74.04x = 12,581.22
  5. Step 5: Solve for x
    x = 12,581.22/74.04
  6. Step 6: Final answer
    x = 169.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.