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Finding the Third Proportional to 52,512 and 109,452

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Solution

The third proportional to 52,512 and 109,452 is: 228,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512 : 109,452 = 109,452 : x
  2. Step 2: Convert to fraction form
    52,512/109,452 = 109,452/x
  3. Step 3: Cross multiply
    52,512x = 109,452 × 109,452
  4. Step 4: Simplify right side
    52,512x = 11,979,740,304
  5. Step 5: Solve for x
    x = 11,979,740,304/52,512
  6. Step 6: Final answer
    x = 228,133.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.