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Finding the Third Proportional to 85,326.75 and 113,224.50

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Solution

The third proportional to 85,326.75 and 113,224.50 is: 150,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326.75 : 113,224.50 = 113,224.50 : x
  2. Step 2: Convert to fraction form
    85,326.75/113,224.50 = 113,224.50/x
  3. Step 3: Cross multiply
    85,326.75x = 113,224.50 × 113,224.50
  4. Step 4: Simplify right side
    85,326.75x = 12,819,787,400.25
  5. Step 5: Solve for x
    x = 12,819,787,400.25/85,326.75
  6. Step 6: Final answer
    x = 150,243.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.