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Finding the Third Proportional to 55,768.50 and 115,288.31

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Solution

The third proportional to 55,768.50 and 115,288.31 is: 238,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,768.50 : 115,288.31 = 115,288.31 : x
  2. Step 2: Convert to fraction form
    55,768.50/115,288.31 = 115,288.31/x
  3. Step 3: Cross multiply
    55,768.50x = 115,288.31 × 115,288.31
  4. Step 4: Simplify right side
    55,768.50x = 13,291,394,999.10
  5. Step 5: Solve for x
    x = 13,291,394,999.10/55,768.50
  6. Step 6: Final answer
    x = 238,331.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.