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Finding the Third Proportional to 125.93 and 162.42

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Solution

The third proportional to 125.93 and 162.42 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 162.42 = 162.42 : x
  2. Step 2: Convert to fraction form
    125.93/162.42 = 162.42/x
  3. Step 3: Cross multiply
    125.93x = 162.42 × 162.42
  4. Step 4: Simplify right side
    125.93x = 26,380.87
  5. Step 5: Solve for x
    x = 26,380.87/125.93
  6. Step 6: Final answer
    x = 209.49

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.