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Finding the Third Proportional to 61,366.50 and 126,648

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Solution

The third proportional to 61,366.50 and 126,648 is: 261,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,366.50 : 126,648 = 126,648 : x
  2. Step 2: Convert to fraction form
    61,366.50/126,648 = 126,648/x
  3. Step 3: Cross multiply
    61,366.50x = 126,648 × 126,648
  4. Step 4: Simplify right side
    61,366.50x = 16,039,715,904
  5. Step 5: Solve for x
    x = 16,039,715,904/61,366.50
  6. Step 6: Final answer
    x = 261,375.77

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.