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Finding the Third Proportional to 90,668 and 149,835

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Solution

The third proportional to 90,668 and 149,835 is: 247,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,668 : 149,835 = 149,835 : x
  2. Step 2: Convert to fraction form
    90,668/149,835 = 149,835/x
  3. Step 3: Cross multiply
    90,668x = 149,835 × 149,835
  4. Step 4: Simplify right side
    90,668x = 22,450,527,225
  5. Step 5: Solve for x
    x = 22,450,527,225/90,668
  6. Step 6: Final answer
    x = 247,612.47

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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.