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Finding the Third Proportional to 94,612 and 200,760

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Solution

The third proportional to 94,612 and 200,760 is: 425,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,612 : 200,760 = 200,760 : x
  2. Step 2: Convert to fraction form
    94,612/200,760 = 200,760/x
  3. Step 3: Cross multiply
    94,612x = 200,760 × 200,760
  4. Step 4: Simplify right side
    94,612x = 40,304,577,600
  5. Step 5: Solve for x
    x = 40,304,577,600/94,612
  6. Step 6: Final answer
    x = 425,998.58

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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.