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Finding the Third Proportional to 49,272.19 and 102,044.25

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Solution

The third proportional to 49,272.19 and 102,044.25 is: 211,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,272.19 : 102,044.25 = 102,044.25 : x
  2. Step 2: Convert to fraction form
    49,272.19/102,044.25 = 102,044.25/x
  3. Step 3: Cross multiply
    49,272.19x = 102,044.25 × 102,044.25
  4. Step 4: Simplify right side
    49,272.19x = 10,413,028,958.06
  5. Step 5: Solve for x
    x = 10,413,028,958.06/49,272.19
  6. Step 6: Final answer
    x = 211,336.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.