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Finding the Third Proportional to 61,122.09 and 128,896.31

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Solution

The third proportional to 61,122.09 and 128,896.31 is: 271,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,122.09 : 128,896.31 = 128,896.31 : x
  2. Step 2: Convert to fraction form
    61,122.09/128,896.31 = 128,896.31/x
  3. Step 3: Cross multiply
    61,122.09x = 128,896.31 × 128,896.31
  4. Step 4: Simplify right side
    61,122.09x = 16,614,259,376.10
  5. Step 5: Solve for x
    x = 16,614,259,376.10/61,122.09
  6. Step 6: Final answer
    x = 271,820.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.