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Finding the Third Proportional to 51,006 and 110,901

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Solution

The third proportional to 51,006 and 110,901 is: 241,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006 : 110,901 = 110,901 : x
  2. Step 2: Convert to fraction form
    51,006/110,901 = 110,901/x
  3. Step 3: Cross multiply
    51,006x = 110,901 × 110,901
  4. Step 4: Simplify right side
    51,006x = 12,299,031,801
  5. Step 5: Solve for x
    x = 12,299,031,801/51,006
  6. Step 6: Final answer
    x = 241,129.12

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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.