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Finding the Third Proportional to 69,251 and 151,678

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Solution

The third proportional to 69,251 and 151,678 is: 332,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,251 : 151,678 = 151,678 : x
  2. Step 2: Convert to fraction form
    69,251/151,678 = 151,678/x
  3. Step 3: Cross multiply
    69,251x = 151,678 × 151,678
  4. Step 4: Simplify right side
    69,251x = 23,006,215,684
  5. Step 5: Solve for x
    x = 23,006,215,684/69,251
  6. Step 6: Final answer
    x = 332,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.