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Finding the Third Proportional to 60.75 and 99.56

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Solution

The third proportional to 60.75 and 99.56 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 99.56 = 99.56 : x
  2. Step 2: Convert to fraction form
    60.75/99.56 = 99.56/x
  3. Step 3: Cross multiply
    60.75x = 99.56 × 99.56
  4. Step 4: Simplify right side
    60.75x = 9,912.69
  5. Step 5: Solve for x
    x = 9,912.69/60.75
  6. Step 6: Final answer
    x = 163.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.