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Finding the Third Proportional to 126,964.50 and 273,045

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Solution

The third proportional to 126,964.50 and 273,045 is: 587,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,964.50 : 273,045 = 273,045 : x
  2. Step 2: Convert to fraction form
    126,964.50/273,045 = 273,045/x
  3. Step 3: Cross multiply
    126,964.50x = 273,045 × 273,045
  4. Step 4: Simplify right side
    126,964.50x = 74,553,572,025
  5. Step 5: Solve for x
    x = 74,553,572,025/126,964.50
  6. Step 6: Final answer
    x = 587,200.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.