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Finding the Third Proportional to 51,900 and 112,872

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Solution

The third proportional to 51,900 and 112,872 is: 245,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900 : 112,872 = 112,872 : x
  2. Step 2: Convert to fraction form
    51,900/112,872 = 112,872/x
  3. Step 3: Cross multiply
    51,900x = 112,872 × 112,872
  4. Step 4: Simplify right side
    51,900x = 12,740,088,384
  5. Step 5: Solve for x
    x = 12,740,088,384/51,900
  6. Step 6: Final answer
    x = 245,473.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.