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Finding the Third Proportional to 51,187.50 and 110,697

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Solution

The third proportional to 51,187.50 and 110,697 is: 239,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,187.50 : 110,697 = 110,697 : x
  2. Step 2: Convert to fraction form
    51,187.50/110,697 = 110,697/x
  3. Step 3: Cross multiply
    51,187.50x = 110,697 × 110,697
  4. Step 4: Simplify right side
    51,187.50x = 12,253,825,809
  5. Step 5: Solve for x
    x = 12,253,825,809/51,187.50
  6. Step 6: Final answer
    x = 239,390.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.