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Finding the Third Proportional to 49,498 and 110,036

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Solution

The third proportional to 49,498 and 110,036 is: 244,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498 : 110,036 = 110,036 : x
  2. Step 2: Convert to fraction form
    49,498/110,036 = 110,036/x
  3. Step 3: Cross multiply
    49,498x = 110,036 × 110,036
  4. Step 4: Simplify right side
    49,498x = 12,107,921,296
  5. Step 5: Solve for x
    x = 12,107,921,296/49,498
  6. Step 6: Final answer
    x = 244,614.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.