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Finding the Third Proportional to 65,850 and 144,192

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Solution

The third proportional to 65,850 and 144,192 is: 315,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850 : 144,192 = 144,192 : x
  2. Step 2: Convert to fraction form
    65,850/144,192 = 144,192/x
  3. Step 3: Cross multiply
    65,850x = 144,192 × 144,192
  4. Step 4: Simplify right side
    65,850x = 20,791,332,864
  5. Step 5: Solve for x
    x = 20,791,332,864/65,850
  6. Step 6: Final answer
    x = 315,737.78

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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.