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Finding the Third Proportional to 90,664 and 149,834

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Solution

The third proportional to 90,664 and 149,834 is: 247,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,664 : 149,834 = 149,834 : x
  2. Step 2: Convert to fraction form
    90,664/149,834 = 149,834/x
  3. Step 3: Cross multiply
    90,664x = 149,834 × 149,834
  4. Step 4: Simplify right side
    90,664x = 22,450,227,556
  5. Step 5: Solve for x
    x = 22,450,227,556/90,664
  6. Step 6: Final answer
    x = 247,620.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.