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Finding the Third Proportional to 68,952 and 150,864

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Solution

The third proportional to 68,952 and 150,864 is: 330,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,952 : 150,864 = 150,864 : x
  2. Step 2: Convert to fraction form
    68,952/150,864 = 150,864/x
  3. Step 3: Cross multiply
    68,952x = 150,864 × 150,864
  4. Step 4: Simplify right side
    68,952x = 22,759,946,496
  5. Step 5: Solve for x
    x = 22,759,946,496/68,952
  6. Step 6: Final answer
    x = 330,083.92

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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.