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Finding the Third Proportional to 94,549 and 201,612

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Solution

The third proportional to 94,549 and 201,612 is: 429,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,549 : 201,612 = 201,612 : x
  2. Step 2: Convert to fraction form
    94,549/201,612 = 201,612/x
  3. Step 3: Cross multiply
    94,549x = 201,612 × 201,612
  4. Step 4: Simplify right side
    94,549x = 40,647,398,544
  5. Step 5: Solve for x
    x = 40,647,398,544/94,549
  6. Step 6: Final answer
    x = 429,908.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.