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Finding the Third Proportional to 89,822.25 and 134,736.75

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Solution

The third proportional to 89,822.25 and 134,736.75 is: 202,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.25 : 134,736.75 = 134,736.75 : x
  2. Step 2: Convert to fraction form
    89,822.25/134,736.75 = 134,736.75/x
  3. Step 3: Cross multiply
    89,822.25x = 134,736.75 × 134,736.75
  4. Step 4: Simplify right side
    89,822.25x = 18,153,991,800.56
  5. Step 5: Solve for x
    x = 18,153,991,800.56/89,822.25
  6. Step 6: Final answer
    x = 202,110.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.