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Finding the Third Proportional to 49,235 and 107,494

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Solution

The third proportional to 49,235 and 107,494 is: 234,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235 : 107,494 = 107,494 : x
  2. Step 2: Convert to fraction form
    49,235/107,494 = 107,494/x
  3. Step 3: Cross multiply
    49,235x = 107,494 × 107,494
  4. Step 4: Simplify right side
    49,235x = 11,554,960,036
  5. Step 5: Solve for x
    x = 11,554,960,036/49,235
  6. Step 6: Final answer
    x = 234,689.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.