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Finding the Third Proportional to 89,408 and 186,163

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Solution

The third proportional to 89,408 and 186,163 is: 387,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,408 : 186,163 = 186,163 : x
  2. Step 2: Convert to fraction form
    89,408/186,163 = 186,163/x
  3. Step 3: Cross multiply
    89,408x = 186,163 × 186,163
  4. Step 4: Simplify right side
    89,408x = 34,656,662,569
  5. Step 5: Solve for x
    x = 34,656,662,569/89,408
  6. Step 6: Final answer
    x = 387,623.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.