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Finding the Third Proportional to 52,304 and 107,632

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Solution

The third proportional to 52,304 and 107,632 is: 221,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 107,632 = 107,632 : x
  2. Step 2: Convert to fraction form
    52,304/107,632 = 107,632/x
  3. Step 3: Cross multiply
    52,304x = 107,632 × 107,632
  4. Step 4: Simplify right side
    52,304x = 11,584,647,424
  5. Step 5: Solve for x
    x = 11,584,647,424/52,304
  6. Step 6: Final answer
    x = 221,486.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.