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Finding the Third Proportional to 49,870 and 74,802

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Solution

The third proportional to 49,870 and 74,802 is: 112,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,870 : 74,802 = 74,802 : x
  2. Step 2: Convert to fraction form
    49,870/74,802 = 74,802/x
  3. Step 3: Cross multiply
    49,870x = 74,802 × 74,802
  4. Step 4: Simplify right side
    49,870x = 5,595,339,204
  5. Step 5: Solve for x
    x = 5,595,339,204/49,870
  6. Step 6: Final answer
    x = 112,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.