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Finding the Third Proportional to 89,754 and 182,452

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Solution

The third proportional to 89,754 and 182,452 is: 370,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,754 : 182,452 = 182,452 : x
  2. Step 2: Convert to fraction form
    89,754/182,452 = 182,452/x
  3. Step 3: Cross multiply
    89,754x = 182,452 × 182,452
  4. Step 4: Simplify right side
    89,754x = 33,288,732,304
  5. Step 5: Solve for x
    x = 33,288,732,304/89,754
  6. Step 6: Final answer
    x = 370,888.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.