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Finding the Third Proportional to 89,229 and 122,352.75

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Solution

The third proportional to 89,229 and 122,352.75 is: 167,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,229 : 122,352.75 = 122,352.75 : x
  2. Step 2: Convert to fraction form
    89,229/122,352.75 = 122,352.75/x
  3. Step 3: Cross multiply
    89,229x = 122,352.75 × 122,352.75
  4. Step 4: Simplify right side
    89,229x = 14,970,195,432.56
  5. Step 5: Solve for x
    x = 14,970,195,432.56/89,229
  6. Step 6: Final answer
    x = 167,772.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.