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Finding the Third Proportional to 67,849 and 103,535

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Solution

The third proportional to 67,849 and 103,535 is: 157,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849 : 103,535 = 103,535 : x
  2. Step 2: Convert to fraction form
    67,849/103,535 = 103,535/x
  3. Step 3: Cross multiply
    67,849x = 103,535 × 103,535
  4. Step 4: Simplify right side
    67,849x = 10,719,496,225
  5. Step 5: Solve for x
    x = 10,719,496,225/67,849
  6. Step 6: Final answer
    x = 157,990.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.