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Finding the Third Proportional to 39,894 and 94,113

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Solution

The third proportional to 39,894 and 94,113 is: 222,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,894 : 94,113 = 94,113 : x
  2. Step 2: Convert to fraction form
    39,894/94,113 = 94,113/x
  3. Step 3: Cross multiply
    39,894x = 94,113 × 94,113
  4. Step 4: Simplify right side
    39,894x = 8,857,256,769
  5. Step 5: Solve for x
    x = 8,857,256,769/39,894
  6. Step 6: Final answer
    x = 222,019.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.