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Finding the Third Proportional to 51,667.88 and 113,023.48

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Solution

The third proportional to 51,667.88 and 113,023.48 is: 247,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,667.88 : 113,023.48 = 113,023.48 : x
  2. Step 2: Convert to fraction form
    51,667.88/113,023.48 = 113,023.48/x
  3. Step 3: Cross multiply
    51,667.88x = 113,023.48 × 113,023.48
  4. Step 4: Simplify right side
    51,667.88x = 12,774,306,254.27
  5. Step 5: Solve for x
    x = 12,774,306,254.27/51,667.88
  6. Step 6: Final answer
    x = 247,238.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.