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Finding the Third Proportional to 126,550.13 and 275,243.06

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Solution

The third proportional to 126,550.13 and 275,243.06 is: 598,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,550.13 : 275,243.06 = 275,243.06 : x
  2. Step 2: Convert to fraction form
    126,550.13/275,243.06 = 275,243.06/x
  3. Step 3: Cross multiply
    126,550.13x = 275,243.06 × 275,243.06
  4. Step 4: Simplify right side
    126,550.13x = 75,758,743,454.38
  5. Step 5: Solve for x
    x = 75,758,743,454.38/126,550.13
  6. Step 6: Final answer
    x = 598,646.14

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