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Finding the Third Proportional to 51,324 and 119,238

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Solution

The third proportional to 51,324 and 119,238 is: 277,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324 : 119,238 = 119,238 : x
  2. Step 2: Convert to fraction form
    51,324/119,238 = 119,238/x
  3. Step 3: Cross multiply
    51,324x = 119,238 × 119,238
  4. Step 4: Simplify right side
    51,324x = 14,217,700,644
  5. Step 5: Solve for x
    x = 14,217,700,644/51,324
  6. Step 6: Final answer
    x = 277,018.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.