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Finding the Third Proportional to 49,275 and 102,051

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Solution

The third proportional to 49,275 and 102,051 is: 211,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,275 : 102,051 = 102,051 : x
  2. Step 2: Convert to fraction form
    49,275/102,051 = 102,051/x
  3. Step 3: Cross multiply
    49,275x = 102,051 × 102,051
  4. Step 4: Simplify right side
    49,275x = 10,414,406,601
  5. Step 5: Solve for x
    x = 10,414,406,601/49,275
  6. Step 6: Final answer
    x = 211,352.75

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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.