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Finding the Third Proportional to 126,967.50 and 275,815.13

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Solution

The third proportional to 126,967.50 and 275,815.13 is: 599,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,967.50 : 275,815.13 = 275,815.13 : x
  2. Step 2: Convert to fraction form
    126,967.50/275,815.13 = 275,815.13/x
  3. Step 3: Cross multiply
    126,967.50x = 275,815.13 × 275,815.13
  4. Step 4: Simplify right side
    126,967.50x = 76,073,983,178.77
  5. Step 5: Solve for x
    x = 76,073,983,178.77/126,967.50
  6. Step 6: Final answer
    x = 599,161.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.