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Finding the Third Proportional to 126,705.75 and 272,912.25

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Solution

The third proportional to 126,705.75 and 272,912.25 is: 587,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,705.75 : 272,912.25 = 272,912.25 : x
  2. Step 2: Convert to fraction form
    126,705.75/272,912.25 = 272,912.25/x
  3. Step 3: Cross multiply
    126,705.75x = 272,912.25 × 272,912.25
  4. Step 4: Simplify right side
    126,705.75x = 74,481,096,200.06
  5. Step 5: Solve for x
    x = 74,481,096,200.06/126,705.75
  6. Step 6: Final answer
    x = 587,827.28

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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.