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Finding the Third Proportional to 83.32 and 125.30

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Solution

The third proportional to 83.32 and 125.30 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 125.30 = 125.30 : x
  2. Step 2: Convert to fraction form
    83.32/125.30 = 125.30/x
  3. Step 3: Cross multiply
    83.32x = 125.30 × 125.30
  4. Step 4: Simplify right side
    83.32x = 15,699.31
  5. Step 5: Solve for x
    x = 15,699.31/83.32
  6. Step 6: Final answer
    x = 188.42

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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.