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Finding the Third Proportional to 51,192 and 110,158

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Solution

The third proportional to 51,192 and 110,158 is: 237,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192 : 110,158 = 110,158 : x
  2. Step 2: Convert to fraction form
    51,192/110,158 = 110,158/x
  3. Step 3: Cross multiply
    51,192x = 110,158 × 110,158
  4. Step 4: Simplify right side
    51,192x = 12,134,784,964
  5. Step 5: Solve for x
    x = 12,134,784,964/51,192
  6. Step 6: Final answer
    x = 237,044.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.