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Finding the Third Proportional to 69,747 and 151,302

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Solution

The third proportional to 69,747 and 151,302 is: 328,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,747 : 151,302 = 151,302 : x
  2. Step 2: Convert to fraction form
    69,747/151,302 = 151,302/x
  3. Step 3: Cross multiply
    69,747x = 151,302 × 151,302
  4. Step 4: Simplify right side
    69,747x = 22,892,295,204
  5. Step 5: Solve for x
    x = 22,892,295,204/69,747
  6. Step 6: Final answer
    x = 328,219.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.