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Finding the Third Proportional to 91.83 and 124.03

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Solution

The third proportional to 91.83 and 124.03 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.83 : 124.03 = 124.03 : x
  2. Step 2: Convert to fraction form
    91.83/124.03 = 124.03/x
  3. Step 3: Cross multiply
    91.83x = 124.03 × 124.03
  4. Step 4: Simplify right side
    91.83x = 15,383.75
  5. Step 5: Solve for x
    x = 15,383.75/91.83
  6. Step 6: Final answer
    x = 167.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.