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Finding the Third Proportional to 95,872 and 209,048

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Solution

The third proportional to 95,872 and 209,048 is: 455,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,872 : 209,048 = 209,048 : x
  2. Step 2: Convert to fraction form
    95,872/209,048 = 209,048/x
  3. Step 3: Cross multiply
    95,872x = 209,048 × 209,048
  4. Step 4: Simplify right side
    95,872x = 43,701,066,304
  5. Step 5: Solve for x
    x = 43,701,066,304/95,872
  6. Step 6: Final answer
    x = 455,827.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.