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Finding the Third Proportional to 89,885 and 133,075

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Solution

The third proportional to 89,885 and 133,075 is: 197,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,885 : 133,075 = 133,075 : x
  2. Step 2: Convert to fraction form
    89,885/133,075 = 133,075/x
  3. Step 3: Cross multiply
    89,885x = 133,075 × 133,075
  4. Step 4: Simplify right side
    89,885x = 17,708,955,625
  5. Step 5: Solve for x
    x = 17,708,955,625/89,885
  6. Step 6: Final answer
    x = 197,017.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.