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Finding the Third Proportional to 67,809 and 100,331.25

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Solution

The third proportional to 67,809 and 100,331.25 is: 148,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,809 : 100,331.25 = 100,331.25 : x
  2. Step 2: Convert to fraction form
    67,809/100,331.25 = 100,331.25/x
  3. Step 3: Cross multiply
    67,809x = 100,331.25 × 100,331.25
  4. Step 4: Simplify right side
    67,809x = 10,066,359,726.56
  5. Step 5: Solve for x
    x = 10,066,359,726.56/67,809
  6. Step 6: Final answer
    x = 148,451.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.