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Finding the Third Proportional to 59.17 and 127.20

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Solution

The third proportional to 59.17 and 127.20 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.17 : 127.20 = 127.20 : x
  2. Step 2: Convert to fraction form
    59.17/127.20 = 127.20/x
  3. Step 3: Cross multiply
    59.17x = 127.20 × 127.20
  4. Step 4: Simplify right side
    59.17x = 16,178.65
  5. Step 5: Solve for x
    x = 16,178.65/59.17
  6. Step 6: Final answer
    x = 273.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.