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Finding the Third Proportional to 49,031 and 105,839

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Solution

The third proportional to 49,031 and 105,839 is: 228,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,031 : 105,839 = 105,839 : x
  2. Step 2: Convert to fraction form
    49,031/105,839 = 105,839/x
  3. Step 3: Cross multiply
    49,031x = 105,839 × 105,839
  4. Step 4: Simplify right side
    49,031x = 11,201,893,921
  5. Step 5: Solve for x
    x = 11,201,893,921/49,031
  6. Step 6: Final answer
    x = 228,465.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.