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Finding the Third Proportional to 100,864 and 151,040

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Solution

The third proportional to 100,864 and 151,040 is: 226,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864 : 151,040 = 151,040 : x
  2. Step 2: Convert to fraction form
    100,864/151,040 = 151,040/x
  3. Step 3: Cross multiply
    100,864x = 151,040 × 151,040
  4. Step 4: Simplify right side
    100,864x = 22,813,081,600
  5. Step 5: Solve for x
    x = 22,813,081,600/100,864
  6. Step 6: Final answer
    x = 226,176.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.