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Finding the Third Proportional to 55,724.20 and 108,657.70

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Solution

The third proportional to 55,724.20 and 108,657.70 is: 211,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724.20 : 108,657.70 = 108,657.70 : x
  2. Step 2: Convert to fraction form
    55,724.20/108,657.70 = 108,657.70/x
  3. Step 3: Cross multiply
    55,724.20x = 108,657.70 × 108,657.70
  4. Step 4: Simplify right side
    55,724.20x = 11,806,496,448.40
  5. Step 5: Solve for x
    x = 11,806,496,448.40/55,724.20
  6. Step 6: Final answer
    x = 211,873.76

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.