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Finding the Third Proportional to 49,060 and 103,844

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Solution

The third proportional to 49,060 and 103,844 is: 219,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,060 : 103,844 = 103,844 : x
  2. Step 2: Convert to fraction form
    49,060/103,844 = 103,844/x
  3. Step 3: Cross multiply
    49,060x = 103,844 × 103,844
  4. Step 4: Simplify right side
    49,060x = 10,783,576,336
  5. Step 5: Solve for x
    x = 10,783,576,336/49,060
  6. Step 6: Final answer
    x = 219,803.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.