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Finding the Third Proportional to 89,788.25 and 133,903.75

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Solution

The third proportional to 89,788.25 and 133,903.75 is: 199,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,788.25 : 133,903.75 = 133,903.75 : x
  2. Step 2: Convert to fraction form
    89,788.25/133,903.75 = 133,903.75/x
  3. Step 3: Cross multiply
    89,788.25x = 133,903.75 × 133,903.75
  4. Step 4: Simplify right side
    89,788.25x = 17,930,214,264.06
  5. Step 5: Solve for x
    x = 17,930,214,264.06/89,788.25
  6. Step 6: Final answer
    x = 199,694.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.