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Finding the Third Proportional to 89,330 and 189,252

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Solution

The third proportional to 89,330 and 189,252 is: 400,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,330 : 189,252 = 189,252 : x
  2. Step 2: Convert to fraction form
    89,330/189,252 = 189,252/x
  3. Step 3: Cross multiply
    89,330x = 189,252 × 189,252
  4. Step 4: Simplify right side
    89,330x = 35,816,319,504
  5. Step 5: Solve for x
    x = 35,816,319,504/89,330
  6. Step 6: Final answer
    x = 400,943.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.