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Finding the Third Proportional to 61,617.94 and 126,150.19

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Solution

The third proportional to 61,617.94 and 126,150.19 is: 258,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617.94 : 126,150.19 = 126,150.19 : x
  2. Step 2: Convert to fraction form
    61,617.94/126,150.19 = 126,150.19/x
  3. Step 3: Cross multiply
    61,617.94x = 126,150.19 × 126,150.19
  4. Step 4: Simplify right side
    61,617.94x = 15,913,869,806.29
  5. Step 5: Solve for x
    x = 15,913,869,806.29/61,617.94
  6. Step 6: Final answer
    x = 258,266.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.