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Finding the Third Proportional to 40,620 and 89,087

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Solution

The third proportional to 40,620 and 89,087 is: 195,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,620 : 89,087 = 89,087 : x
  2. Step 2: Convert to fraction form
    40,620/89,087 = 89,087/x
  3. Step 3: Cross multiply
    40,620x = 89,087 × 89,087
  4. Step 4: Simplify right side
    40,620x = 7,936,493,569
  5. Step 5: Solve for x
    x = 7,936,493,569/40,620
  6. Step 6: Final answer
    x = 195,383.89

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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.