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Finding the Third Proportional to 45,903 and 70,578.75

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Solution

The third proportional to 45,903 and 70,578.75 is: 108,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,903 : 70,578.75 = 70,578.75 : x
  2. Step 2: Convert to fraction form
    45,903/70,578.75 = 70,578.75/x
  3. Step 3: Cross multiply
    45,903x = 70,578.75 × 70,578.75
  4. Step 4: Simplify right side
    45,903x = 4,981,359,951.56
  5. Step 5: Solve for x
    x = 4,981,359,951.56/45,903
  6. Step 6: Final answer
    x = 108,519.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.