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Finding the Third Proportional to 87 and 134.34

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Solution

The third proportional to 87 and 134.34 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 134.34 = 134.34 : x
  2. Step 2: Convert to fraction form
    87/134.34 = 134.34/x
  3. Step 3: Cross multiply
    87x = 134.34 × 134.34
  4. Step 4: Simplify right side
    87x = 18,048.24
  5. Step 5: Solve for x
    x = 18,048.24/87
  6. Step 6: Final answer
    x = 207.45

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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.