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Finding the Third Proportional to 61,185.38 and 129,721.50

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Solution

The third proportional to 61,185.38 and 129,721.50 is: 275,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,185.38 : 129,721.50 = 129,721.50 : x
  2. Step 2: Convert to fraction form
    61,185.38/129,721.50 = 129,721.50/x
  3. Step 3: Cross multiply
    61,185.38x = 129,721.50 × 129,721.50
  4. Step 4: Simplify right side
    61,185.38x = 16,827,667,562.25
  5. Step 5: Solve for x
    x = 16,827,667,562.25/61,185.38
  6. Step 6: Final answer
    x = 275,027.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.