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Finding the Third Proportional to 69,365 and 149,251

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Solution

The third proportional to 69,365 and 149,251 is: 321,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,365 : 149,251 = 149,251 : x
  2. Step 2: Convert to fraction form
    69,365/149,251 = 149,251/x
  3. Step 3: Cross multiply
    69,365x = 149,251 × 149,251
  4. Step 4: Simplify right side
    69,365x = 22,275,861,001
  5. Step 5: Solve for x
    x = 22,275,861,001/69,365
  6. Step 6: Final answer
    x = 321,139.78

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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.