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Finding the Third Proportional to 127.13 and 272.60

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Solution

The third proportional to 127.13 and 272.60 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 272.60 = 272.60 : x
  2. Step 2: Convert to fraction form
    127.13/272.60 = 272.60/x
  3. Step 3: Cross multiply
    127.13x = 272.60 × 272.60
  4. Step 4: Simplify right side
    127.13x = 74,311.61
  5. Step 5: Solve for x
    x = 74,311.61/127.13
  6. Step 6: Final answer
    x = 584.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.