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Finding the Third Proportional to 87.19 and 119.53

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Solution

The third proportional to 87.19 and 119.53 is: 163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 119.53 = 119.53 : x
  2. Step 2: Convert to fraction form
    87.19/119.53 = 119.53/x
  3. Step 3: Cross multiply
    87.19x = 119.53 × 119.53
  4. Step 4: Simplify right side
    87.19x = 14,287.72
  5. Step 5: Solve for x
    x = 14,287.72/87.19
  6. Step 6: Final answer
    x = 163.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.