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Finding the Third Proportional to 43,631 and 90,502

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Solution

The third proportional to 43,631 and 90,502 is: 187,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,631 : 90,502 = 90,502 : x
  2. Step 2: Convert to fraction form
    43,631/90,502 = 90,502/x
  3. Step 3: Cross multiply
    43,631x = 90,502 × 90,502
  4. Step 4: Simplify right side
    43,631x = 8,190,612,004
  5. Step 5: Solve for x
    x = 8,190,612,004/43,631
  6. Step 6: Final answer
    x = 187,724.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.