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Finding the Third Proportional to 67,846 and 149,154

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Solution

The third proportional to 67,846 and 149,154 is: 327,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,846 : 149,154 = 149,154 : x
  2. Step 2: Convert to fraction form
    67,846/149,154 = 149,154/x
  3. Step 3: Cross multiply
    67,846x = 149,154 × 149,154
  4. Step 4: Simplify right side
    67,846x = 22,246,915,716
  5. Step 5: Solve for x
    x = 22,246,915,716/67,846
  6. Step 6: Final answer
    x = 327,903.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.