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Finding the Third Proportional to 59.88 and 87.31

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Solution

The third proportional to 59.88 and 87.31 is: 127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.88 : 87.31 = 87.31 : x
  2. Step 2: Convert to fraction form
    59.88/87.31 = 87.31/x
  3. Step 3: Cross multiply
    59.88x = 87.31 × 87.31
  4. Step 4: Simplify right side
    59.88x = 7,623.47
  5. Step 5: Solve for x
    x = 7,623.47/59.88
  6. Step 6: Final answer
    x = 127.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.