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Finding the Third Proportional to 55.56 and 83.13

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Solution

The third proportional to 55.56 and 83.13 is: 124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 83.13 = 83.13 : x
  2. Step 2: Convert to fraction form
    55.56/83.13 = 83.13/x
  3. Step 3: Cross multiply
    55.56x = 83.13 × 83.13
  4. Step 4: Simplify right side
    55.56x = 6,909.77
  5. Step 5: Solve for x
    x = 6,909.77/55.56
  6. Step 6: Final answer
    x = 124.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.