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Finding the Third Proportional to 49,195 and 74,378.50

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Solution

The third proportional to 49,195 and 74,378.50 is: 112,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195 : 74,378.50 = 74,378.50 : x
  2. Step 2: Convert to fraction form
    49,195/74,378.50 = 74,378.50/x
  3. Step 3: Cross multiply
    49,195x = 74,378.50 × 74,378.50
  4. Step 4: Simplify right side
    49,195x = 5,532,161,262.25
  5. Step 5: Solve for x
    x = 5,532,161,262.25/49,195
  6. Step 6: Final answer
    x = 112,453.73

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Why These Related Problems?

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