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Finding the Third Proportional to 51,234 and 108,548

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Solution

The third proportional to 51,234 and 108,548 is: 229,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234 : 108,548 = 108,548 : x
  2. Step 2: Convert to fraction form
    51,234/108,548 = 108,548/x
  3. Step 3: Cross multiply
    51,234x = 108,548 × 108,548
  4. Step 4: Simplify right side
    51,234x = 11,782,668,304
  5. Step 5: Solve for x
    x = 11,782,668,304/51,234
  6. Step 6: Final answer
    x = 229,977.52

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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.