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Finding the Third Proportional to 68,510 and 150,112

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Solution

The third proportional to 68,510 and 150,112 is: 328,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,510 : 150,112 = 150,112 : x
  2. Step 2: Convert to fraction form
    68,510/150,112 = 150,112/x
  3. Step 3: Cross multiply
    68,510x = 150,112 × 150,112
  4. Step 4: Simplify right side
    68,510x = 22,533,612,544
  5. Step 5: Solve for x
    x = 22,533,612,544/68,510
  6. Step 6: Final answer
    x = 328,909.83

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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.