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Finding the Third Proportional to 45,965 and 94,882

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Solution

The third proportional to 45,965 and 94,882 is: 195,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,965 : 94,882 = 94,882 : x
  2. Step 2: Convert to fraction form
    45,965/94,882 = 94,882/x
  3. Step 3: Cross multiply
    45,965x = 94,882 × 94,882
  4. Step 4: Simplify right side
    45,965x = 9,002,593,924
  5. Step 5: Solve for x
    x = 9,002,593,924/45,965
  6. Step 6: Final answer
    x = 195,857.59

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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.