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Finding the Third Proportional to 40,894 and 89,068

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Solution

The third proportional to 40,894 and 89,068 is: 193,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894 : 89,068 = 89,068 : x
  2. Step 2: Convert to fraction form
    40,894/89,068 = 89,068/x
  3. Step 3: Cross multiply
    40,894x = 89,068 × 89,068
  4. Step 4: Simplify right side
    40,894x = 7,933,108,624
  5. Step 5: Solve for x
    x = 7,933,108,624/40,894
  6. Step 6: Final answer
    x = 193,991.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.