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Finding the Third Proportional to 60.56 and 134.06

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Solution

The third proportional to 60.56 and 134.06 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.56 : 134.06 = 134.06 : x
  2. Step 2: Convert to fraction form
    60.56/134.06 = 134.06/x
  3. Step 3: Cross multiply
    60.56x = 134.06 × 134.06
  4. Step 4: Simplify right side
    60.56x = 17,972.75
  5. Step 5: Solve for x
    x = 17,972.75/60.56
  6. Step 6: Final answer
    x = 296.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.