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Finding the Third Proportional to 67,563 and 148,098

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Solution

The third proportional to 67,563 and 148,098 is: 324,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,563 : 148,098 = 148,098 : x
  2. Step 2: Convert to fraction form
    67,563/148,098 = 148,098/x
  3. Step 3: Cross multiply
    67,563x = 148,098 × 148,098
  4. Step 4: Simplify right side
    67,563x = 21,933,017,604
  5. Step 5: Solve for x
    x = 21,933,017,604/67,563
  6. Step 6: Final answer
    x = 324,630.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.