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Finding the Third Proportional to 45,918 and 94,782

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Solution

The third proportional to 45,918 and 94,782 is: 195,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,918 : 94,782 = 94,782 : x
  2. Step 2: Convert to fraction form
    45,918/94,782 = 94,782/x
  3. Step 3: Cross multiply
    45,918x = 94,782 × 94,782
  4. Step 4: Simplify right side
    45,918x = 8,983,627,524
  5. Step 5: Solve for x
    x = 8,983,627,524/45,918
  6. Step 6: Final answer
    x = 195,645.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.