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Finding the Third Proportional to 48,795 and 107,094

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Solution

The third proportional to 48,795 and 107,094 is: 235,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,795 : 107,094 = 107,094 : x
  2. Step 2: Convert to fraction form
    48,795/107,094 = 107,094/x
  3. Step 3: Cross multiply
    48,795x = 107,094 × 107,094
  4. Step 4: Simplify right side
    48,795x = 11,469,124,836
  5. Step 5: Solve for x
    x = 11,469,124,836/48,795
  6. Step 6: Final answer
    x = 235,047.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.