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Finding the Third Proportional to 81,667 and 110,833.50

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Solution

The third proportional to 81,667 and 110,833.50 is: 150,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,667 : 110,833.50 = 110,833.50 : x
  2. Step 2: Convert to fraction form
    81,667/110,833.50 = 110,833.50/x
  3. Step 3: Cross multiply
    81,667x = 110,833.50 × 110,833.50
  4. Step 4: Simplify right side
    81,667x = 12,284,064,722.25
  5. Step 5: Solve for x
    x = 12,284,064,722.25/81,667
  6. Step 6: Final answer
    x = 150,416.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.