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Finding the Third Proportional to 89,291.25 and 134,847

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Solution

The third proportional to 89,291.25 and 134,847 is: 203,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,291.25 : 134,847 = 134,847 : x
  2. Step 2: Convert to fraction form
    89,291.25/134,847 = 134,847/x
  3. Step 3: Cross multiply
    89,291.25x = 134,847 × 134,847
  4. Step 4: Simplify right side
    89,291.25x = 18,183,713,409
  5. Step 5: Solve for x
    x = 18,183,713,409/89,291.25
  6. Step 6: Final answer
    x = 203,644.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.