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Finding the Third Proportional to 69,538 and 149,559

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Solution

The third proportional to 69,538 and 149,559 is: 321,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,538 : 149,559 = 149,559 : x
  2. Step 2: Convert to fraction form
    69,538/149,559 = 149,559/x
  3. Step 3: Cross multiply
    69,538x = 149,559 × 149,559
  4. Step 4: Simplify right side
    69,538x = 22,367,894,481
  5. Step 5: Solve for x
    x = 22,367,894,481/69,538
  6. Step 6: Final answer
    x = 321,664.33

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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.