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Finding the Third Proportional to 126,904.50 and 272,947.50

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Solution

The third proportional to 126,904.50 and 272,947.50 is: 587,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,904.50 : 272,947.50 = 272,947.50 : x
  2. Step 2: Convert to fraction form
    126,904.50/272,947.50 = 272,947.50/x
  3. Step 3: Cross multiply
    126,904.50x = 272,947.50 × 272,947.50
  4. Step 4: Simplify right side
    126,904.50x = 74,500,337,756.25
  5. Step 5: Solve for x
    x = 74,500,337,756.25/126,904.50
  6. Step 6: Final answer
    x = 587,058.28

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