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Finding the Third Proportional to 60.56 and 101.53

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Solution

The third proportional to 60.56 and 101.53 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.56 : 101.53 = 101.53 : x
  2. Step 2: Convert to fraction form
    60.56/101.53 = 101.53/x
  3. Step 3: Cross multiply
    60.56x = 101.53 × 101.53
  4. Step 4: Simplify right side
    60.56x = 10,308.59
  5. Step 5: Solve for x
    x = 10,308.59/60.56
  6. Step 6: Final answer
    x = 170.21

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.