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Finding the Third Proportional to 69,158 and 150,934

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Solution

The third proportional to 69,158 and 150,934 is: 329,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158 : 150,934 = 150,934 : x
  2. Step 2: Convert to fraction form
    69,158/150,934 = 150,934/x
  3. Step 3: Cross multiply
    69,158x = 150,934 × 150,934
  4. Step 4: Simplify right side
    69,158x = 22,781,072,356
  5. Step 5: Solve for x
    x = 22,781,072,356/69,158
  6. Step 6: Final answer
    x = 329,406.18

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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.