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Finding the Third Proportional to 67,699 and 105,249

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Solution

The third proportional to 67,699 and 105,249 is: 163,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,699 : 105,249 = 105,249 : x
  2. Step 2: Convert to fraction form
    67,699/105,249 = 105,249/x
  3. Step 3: Cross multiply
    67,699x = 105,249 × 105,249
  4. Step 4: Simplify right side
    67,699x = 11,077,352,001
  5. Step 5: Solve for x
    x = 11,077,352,001/67,699
  6. Step 6: Final answer
    x = 163,626.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.