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Finding the Third Proportional to 55,071.75 and 114,886.50

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Solution

The third proportional to 55,071.75 and 114,886.50 is: 239,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071.75 : 114,886.50 = 114,886.50 : x
  2. Step 2: Convert to fraction form
    55,071.75/114,886.50 = 114,886.50/x
  3. Step 3: Cross multiply
    55,071.75x = 114,886.50 × 114,886.50
  4. Step 4: Simplify right side
    55,071.75x = 13,198,907,882.25
  5. Step 5: Solve for x
    x = 13,198,907,882.25/55,071.75
  6. Step 6: Final answer
    x = 239,667.49

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.