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Finding the Third Proportional to 67,497 and 100,698.75

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Solution

The third proportional to 67,497 and 100,698.75 is: 150,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,497 : 100,698.75 = 100,698.75 : x
  2. Step 2: Convert to fraction form
    67,497/100,698.75 = 100,698.75/x
  3. Step 3: Cross multiply
    67,497x = 100,698.75 × 100,698.75
  4. Step 4: Simplify right side
    67,497x = 10,140,238,251.56
  5. Step 5: Solve for x
    x = 10,140,238,251.56/67,497
  6. Step 6: Final answer
    x = 150,232.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.