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Finding the Third Proportional to 103,418 and 149,110

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Solution

The third proportional to 103,418 and 149,110 is: 214,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,418 : 149,110 = 149,110 : x
  2. Step 2: Convert to fraction form
    103,418/149,110 = 149,110/x
  3. Step 3: Cross multiply
    103,418x = 149,110 × 149,110
  4. Step 4: Simplify right side
    103,418x = 22,233,792,100
  5. Step 5: Solve for x
    x = 22,233,792,100/103,418
  6. Step 6: Final answer
    x = 214,989.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.