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Finding the Third Proportional to 43,309 and 94,885

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Solution

The third proportional to 43,309 and 94,885 is: 207,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309 : 94,885 = 94,885 : x
  2. Step 2: Convert to fraction form
    43,309/94,885 = 94,885/x
  3. Step 3: Cross multiply
    43,309x = 94,885 × 94,885
  4. Step 4: Simplify right side
    43,309x = 9,003,163,225
  5. Step 5: Solve for x
    x = 9,003,163,225/43,309
  6. Step 6: Final answer
    x = 207,882.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.