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Finding the Third Proportional to 49,972 and 107,051

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Solution

The third proportional to 49,972 and 107,051 is: 229,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,972 : 107,051 = 107,051 : x
  2. Step 2: Convert to fraction form
    49,972/107,051 = 107,051/x
  3. Step 3: Cross multiply
    49,972x = 107,051 × 107,051
  4. Step 4: Simplify right side
    49,972x = 11,459,916,601
  5. Step 5: Solve for x
    x = 11,459,916,601/49,972
  6. Step 6: Final answer
    x = 229,326.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.