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Finding the Third Proportional to 95,074 and 201,822

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Solution

The third proportional to 95,074 and 201,822 is: 428,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,074 : 201,822 = 201,822 : x
  2. Step 2: Convert to fraction form
    95,074/201,822 = 201,822/x
  3. Step 3: Cross multiply
    95,074x = 201,822 × 201,822
  4. Step 4: Simplify right side
    95,074x = 40,732,119,684
  5. Step 5: Solve for x
    x = 40,732,119,684/95,074
  6. Step 6: Final answer
    x = 428,425.43

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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.