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Finding the Third Proportional to 49,296 and 105,964

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Solution

The third proportional to 49,296 and 105,964 is: 227,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296 : 105,964 = 105,964 : x
  2. Step 2: Convert to fraction form
    49,296/105,964 = 105,964/x
  3. Step 3: Cross multiply
    49,296x = 105,964 × 105,964
  4. Step 4: Simplify right side
    49,296x = 11,228,369,296
  5. Step 5: Solve for x
    x = 11,228,369,296/49,296
  6. Step 6: Final answer
    x = 227,774.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.