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Finding the Third Proportional to 52,612 and 76,962

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Solution

The third proportional to 52,612 and 76,962 is: 112,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 76,962 = 76,962 : x
  2. Step 2: Convert to fraction form
    52,612/76,962 = 76,962/x
  3. Step 3: Cross multiply
    52,612x = 76,962 × 76,962
  4. Step 4: Simplify right side
    52,612x = 5,923,149,444
  5. Step 5: Solve for x
    x = 5,923,149,444/52,612
  6. Step 6: Final answer
    x = 112,581.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.