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Finding the Third Proportional to 49,812 and 74,922

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Solution

The third proportional to 49,812 and 74,922 is: 112,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812 : 74,922 = 74,922 : x
  2. Step 2: Convert to fraction form
    49,812/74,922 = 74,922/x
  3. Step 3: Cross multiply
    49,812x = 74,922 × 74,922
  4. Step 4: Simplify right side
    49,812x = 5,613,306,084
  5. Step 5: Solve for x
    x = 5,613,306,084/49,812
  6. Step 6: Final answer
    x = 112,689.84

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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.