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Finding the Third Proportional to 49,850 and 67,162

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Solution

The third proportional to 49,850 and 67,162 is: 90,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,850 : 67,162 = 67,162 : x
  2. Step 2: Convert to fraction form
    49,850/67,162 = 67,162/x
  3. Step 3: Cross multiply
    49,850x = 67,162 × 67,162
  4. Step 4: Simplify right side
    49,850x = 4,510,734,244
  5. Step 5: Solve for x
    x = 4,510,734,244/49,850
  6. Step 6: Final answer
    x = 90,486.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.