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Finding the Third Proportional to 87.19 and 134.56

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Solution

The third proportional to 87.19 and 134.56 is: 207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 134.56 = 134.56 : x
  2. Step 2: Convert to fraction form
    87.19/134.56 = 134.56/x
  3. Step 3: Cross multiply
    87.19x = 134.56 × 134.56
  4. Step 4: Simplify right side
    87.19x = 18,107.07
  5. Step 5: Solve for x
    x = 18,107.07/87.19
  6. Step 6: Final answer
    x = 207.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.