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Finding the Third Proportional to 67,975 and 103,460

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Solution

The third proportional to 67,975 and 103,460 is: 157,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,975 : 103,460 = 103,460 : x
  2. Step 2: Convert to fraction form
    67,975/103,460 = 103,460/x
  3. Step 3: Cross multiply
    67,975x = 103,460 × 103,460
  4. Step 4: Simplify right side
    67,975x = 10,703,971,600
  5. Step 5: Solve for x
    x = 10,703,971,600/67,975
  6. Step 6: Final answer
    x = 157,469.24

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.