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Finding the Third Proportional to 61,906.50 and 144,650.25

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Solution

The third proportional to 61,906.50 and 144,650.25 is: 337,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,906.50 : 144,650.25 = 144,650.25 : x
  2. Step 2: Convert to fraction form
    61,906.50/144,650.25 = 144,650.25/x
  3. Step 3: Cross multiply
    61,906.50x = 144,650.25 × 144,650.25
  4. Step 4: Simplify right side
    61,906.50x = 20,923,694,825.06
  5. Step 5: Solve for x
    x = 20,923,694,825.06/61,906.50
  6. Step 6: Final answer
    x = 337,988.66

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.