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Finding the Third Proportional to 55.69 and 99.56

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Solution

The third proportional to 55.69 and 99.56 is: 178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.69 : 99.56 = 99.56 : x
  2. Step 2: Convert to fraction form
    55.69/99.56 = 99.56/x
  3. Step 3: Cross multiply
    55.69x = 99.56 × 99.56
  4. Step 4: Simplify right side
    55.69x = 9,912.69
  5. Step 5: Solve for x
    x = 9,912.69/55.69
  6. Step 6: Final answer
    x = 178.01

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.