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Finding the Third Proportional to 51,827 and 107,548

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Solution

The third proportional to 51,827 and 107,548 is: 223,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,827 : 107,548 = 107,548 : x
  2. Step 2: Convert to fraction form
    51,827/107,548 = 107,548/x
  3. Step 3: Cross multiply
    51,827x = 107,548 × 107,548
  4. Step 4: Simplify right side
    51,827x = 11,566,572,304
  5. Step 5: Solve for x
    x = 11,566,572,304/51,827
  6. Step 6: Final answer
    x = 223,176.57

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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.