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Finding the Third Proportional to 61,542.75 and 144,896.25

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Solution

The third proportional to 61,542.75 and 144,896.25 is: 341,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542.75 : 144,896.25 = 144,896.25 : x
  2. Step 2: Convert to fraction form
    61,542.75/144,896.25 = 144,896.25/x
  3. Step 3: Cross multiply
    61,542.75x = 144,896.25 × 144,896.25
  4. Step 4: Simplify right side
    61,542.75x = 20,994,923,264.06
  5. Step 5: Solve for x
    x = 20,994,923,264.06/61,542.75
  6. Step 6: Final answer
    x = 341,143.73

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.