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Finding the Third Proportional to 49,709 and 104,548

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Solution

The third proportional to 49,709 and 104,548 is: 219,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709 : 104,548 = 104,548 : x
  2. Step 2: Convert to fraction form
    49,709/104,548 = 104,548/x
  3. Step 3: Cross multiply
    49,709x = 104,548 × 104,548
  4. Step 4: Simplify right side
    49,709x = 10,930,284,304
  5. Step 5: Solve for x
    x = 10,930,284,304/49,709
  6. Step 6: Final answer
    x = 219,885.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.