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Finding the Third Proportional to 69,446 and 149,438

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Solution

The third proportional to 69,446 and 149,438 is: 321,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446 : 149,438 = 149,438 : x
  2. Step 2: Convert to fraction form
    69,446/149,438 = 149,438/x
  3. Step 3: Cross multiply
    69,446x = 149,438 × 149,438
  4. Step 4: Simplify right side
    69,446x = 22,331,715,844
  5. Step 5: Solve for x
    x = 22,331,715,844/69,446
  6. Step 6: Final answer
    x = 321,569.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.