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Finding the Third Proportional to 70,497 and 104,874.75

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Solution

The third proportional to 70,497 and 104,874.75 is: 156,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497 : 104,874.75 = 104,874.75 : x
  2. Step 2: Convert to fraction form
    70,497/104,874.75 = 104,874.75/x
  3. Step 3: Cross multiply
    70,497x = 104,874.75 × 104,874.75
  4. Step 4: Simplify right side
    70,497x = 10,998,713,187.56
  5. Step 5: Solve for x
    x = 10,998,713,187.56/70,497
  6. Step 6: Final answer
    x = 156,016.76

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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.