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Finding the Third Proportional to 67,469 and 107,233.50

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Solution

The third proportional to 67,469 and 107,233.50 is: 170,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,469 : 107,233.50 = 107,233.50 : x
  2. Step 2: Convert to fraction form
    67,469/107,233.50 = 107,233.50/x
  3. Step 3: Cross multiply
    67,469x = 107,233.50 × 107,233.50
  4. Step 4: Simplify right side
    67,469x = 11,499,023,522.25
  5. Step 5: Solve for x
    x = 11,499,023,522.25/67,469
  6. Step 6: Final answer
    x = 170,434.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.