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Finding the Third Proportional to 55,700.75 and 115,991.50

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Solution

The third proportional to 55,700.75 and 115,991.50 is: 241,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700.75 : 115,991.50 = 115,991.50 : x
  2. Step 2: Convert to fraction form
    55,700.75/115,991.50 = 115,991.50/x
  3. Step 3: Cross multiply
    55,700.75x = 115,991.50 × 115,991.50
  4. Step 4: Simplify right side
    55,700.75x = 13,454,028,072.25
  5. Step 5: Solve for x
    x = 13,454,028,072.25/55,700.75
  6. Step 6: Final answer
    x = 241,541.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.