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Finding the Third Proportional to 100,566 and 149,110

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Solution

The third proportional to 100,566 and 149,110 is: 221,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566 : 149,110 = 149,110 : x
  2. Step 2: Convert to fraction form
    100,566/149,110 = 149,110/x
  3. Step 3: Cross multiply
    100,566x = 149,110 × 149,110
  4. Step 4: Simplify right side
    100,566x = 22,233,792,100
  5. Step 5: Solve for x
    x = 22,233,792,100/100,566
  6. Step 6: Final answer
    x = 221,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.