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Finding the Third Proportional to 51,264 and 110,304

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Solution

The third proportional to 51,264 and 110,304 is: 237,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,264 : 110,304 = 110,304 : x
  2. Step 2: Convert to fraction form
    51,264/110,304 = 110,304/x
  3. Step 3: Cross multiply
    51,264x = 110,304 × 110,304
  4. Step 4: Simplify right side
    51,264x = 12,166,972,416
  5. Step 5: Solve for x
    x = 12,166,972,416/51,264
  6. Step 6: Final answer
    x = 237,339.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.