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Finding the Third Proportional to 126,324 and 195,822

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Solution

The third proportional to 126,324 and 195,822 is: 303,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,324 : 195,822 = 195,822 : x
  2. Step 2: Convert to fraction form
    126,324/195,822 = 195,822/x
  3. Step 3: Cross multiply
    126,324x = 195,822 × 195,822
  4. Step 4: Simplify right side
    126,324x = 38,346,255,684
  5. Step 5: Solve for x
    x = 38,346,255,684/126,324
  6. Step 6: Final answer
    x = 303,554.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.