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Finding the Third Proportional to 49,257 and 102,017

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Solution

The third proportional to 49,257 and 102,017 is: 211,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,257 : 102,017 = 102,017 : x
  2. Step 2: Convert to fraction form
    49,257/102,017 = 102,017/x
  3. Step 3: Cross multiply
    49,257x = 102,017 × 102,017
  4. Step 4: Simplify right side
    49,257x = 10,407,468,289
  5. Step 5: Solve for x
    x = 10,407,468,289/49,257
  6. Step 6: Final answer
    x = 211,289.12

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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.