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Finding the Third Proportional to 49,796 and 107,964

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Solution

The third proportional to 49,796 and 107,964 is: 234,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796 : 107,964 = 107,964 : x
  2. Step 2: Convert to fraction form
    49,796/107,964 = 107,964/x
  3. Step 3: Cross multiply
    49,796x = 107,964 × 107,964
  4. Step 4: Simplify right side
    49,796x = 11,656,225,296
  5. Step 5: Solve for x
    x = 11,656,225,296/49,796
  6. Step 6: Final answer
    x = 234,079.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.