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Finding the Third Proportional to 51,808.50 and 110,727

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Solution

The third proportional to 51,808.50 and 110,727 is: 236,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.50 : 110,727 = 110,727 : x
  2. Step 2: Convert to fraction form
    51,808.50/110,727 = 110,727/x
  3. Step 3: Cross multiply
    51,808.50x = 110,727 × 110,727
  4. Step 4: Simplify right side
    51,808.50x = 12,260,468,529
  5. Step 5: Solve for x
    x = 12,260,468,529/51,808.50
  6. Step 6: Final answer
    x = 236,649.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.