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Finding the Third Proportional to 72,581.25 and 100,294.50

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Solution

The third proportional to 72,581.25 and 100,294.50 is: 138,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.25 : 100,294.50 = 100,294.50 : x
  2. Step 2: Convert to fraction form
    72,581.25/100,294.50 = 100,294.50/x
  3. Step 3: Cross multiply
    72,581.25x = 100,294.50 × 100,294.50
  4. Step 4: Simplify right side
    72,581.25x = 10,058,986,730.25
  5. Step 5: Solve for x
    x = 10,058,986,730.25/72,581.25
  6. Step 6: Final answer
    x = 138,589.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.