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Finding the Third Proportional to 67,474 and 102,998

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Solution

The third proportional to 67,474 and 102,998 is: 157,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,474 : 102,998 = 102,998 : x
  2. Step 2: Convert to fraction form
    67,474/102,998 = 102,998/x
  3. Step 3: Cross multiply
    67,474x = 102,998 × 102,998
  4. Step 4: Simplify right side
    67,474x = 10,608,588,004
  5. Step 5: Solve for x
    x = 10,608,588,004/67,474
  6. Step 6: Final answer
    x = 157,224.83

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Why These Related Problems?

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