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Finding the Third Proportional to 43,981 and 94,513

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Solution

The third proportional to 43,981 and 94,513 is: 203,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,981 : 94,513 = 94,513 : x
  2. Step 2: Convert to fraction form
    43,981/94,513 = 94,513/x
  3. Step 3: Cross multiply
    43,981x = 94,513 × 94,513
  4. Step 4: Simplify right side
    43,981x = 8,932,707,169
  5. Step 5: Solve for x
    x = 8,932,707,169/43,981
  6. Step 6: Final answer
    x = 203,103.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.