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Finding the Third Proportional to 49,166 and 74,000

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Solution

The third proportional to 49,166 and 74,000 is: 111,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166 : 74,000 = 74,000 : x
  2. Step 2: Convert to fraction form
    49,166/74,000 = 74,000/x
  3. Step 3: Cross multiply
    49,166x = 74,000 × 74,000
  4. Step 4: Simplify right side
    49,166x = 5,476,000,000
  5. Step 5: Solve for x
    x = 5,476,000,000/49,166
  6. Step 6: Final answer
    x = 111,377.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.