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Finding the Third Proportional to 51,007 and 110,487

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Solution

The third proportional to 51,007 and 110,487 is: 239,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007 : 110,487 = 110,487 : x
  2. Step 2: Convert to fraction form
    51,007/110,487 = 110,487/x
  3. Step 3: Cross multiply
    51,007x = 110,487 × 110,487
  4. Step 4: Simplify right side
    51,007x = 12,207,377,169
  5. Step 5: Solve for x
    x = 12,207,377,169/51,007
  6. Step 6: Final answer
    x = 239,327.49

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Why These Related Problems?

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