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Finding the Third Proportional to 106,978 and 149,554

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Solution

The third proportional to 106,978 and 149,554 is: 209,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978 : 149,554 = 149,554 : x
  2. Step 2: Convert to fraction form
    106,978/149,554 = 149,554/x
  3. Step 3: Cross multiply
    106,978x = 149,554 × 149,554
  4. Step 4: Simplify right side
    106,978x = 22,366,398,916
  5. Step 5: Solve for x
    x = 22,366,398,916/106,978
  6. Step 6: Final answer
    x = 209,074.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.