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Finding the Third Proportional to 49,446 and 74,157

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Solution

The third proportional to 49,446 and 74,157 is: 111,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,446 : 74,157 = 74,157 : x
  2. Step 2: Convert to fraction form
    49,446/74,157 = 74,157/x
  3. Step 3: Cross multiply
    49,446x = 74,157 × 74,157
  4. Step 4: Simplify right side
    49,446x = 5,499,260,649
  5. Step 5: Solve for x
    x = 5,499,260,649/49,446
  6. Step 6: Final answer
    x = 111,217.50

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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.