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Finding the Third Proportional to 89,822.25 and 149,694.75

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Solution

The third proportional to 89,822.25 and 149,694.75 is: 249,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.25 : 149,694.75 = 149,694.75 : x
  2. Step 2: Convert to fraction form
    89,822.25/149,694.75 = 149,694.75/x
  3. Step 3: Cross multiply
    89,822.25x = 149,694.75 × 149,694.75
  4. Step 4: Simplify right side
    89,822.25x = 22,408,518,177.56
  5. Step 5: Solve for x
    x = 22,408,518,177.56/89,822.25
  6. Step 6: Final answer
    x = 249,476.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.