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Finding the Third Proportional to 69,143 and 150,802

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Solution

The third proportional to 69,143 and 150,802 is: 328,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143 : 150,802 = 150,802 : x
  2. Step 2: Convert to fraction form
    69,143/150,802 = 150,802/x
  3. Step 3: Cross multiply
    69,143x = 150,802 × 150,802
  4. Step 4: Simplify right side
    69,143x = 22,741,243,204
  5. Step 5: Solve for x
    x = 22,741,243,204/69,143
  6. Step 6: Final answer
    x = 328,901.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.