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Finding the Third Proportional to 69,427 and 149,402

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Solution

The third proportional to 69,427 and 149,402 is: 321,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,427 : 149,402 = 149,402 : x
  2. Step 2: Convert to fraction form
    69,427/149,402 = 149,402/x
  3. Step 3: Cross multiply
    69,427x = 149,402 × 149,402
  4. Step 4: Simplify right side
    69,427x = 22,320,957,604
  5. Step 5: Solve for x
    x = 22,320,957,604/69,427
  6. Step 6: Final answer
    x = 321,502.55

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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.