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Finding the Third Proportional to 51,192.50 and 112,226.75

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Solution

The third proportional to 51,192.50 and 112,226.75 is: 246,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192.50 : 112,226.75 = 112,226.75 : x
  2. Step 2: Convert to fraction form
    51,192.50/112,226.75 = 112,226.75/x
  3. Step 3: Cross multiply
    51,192.50x = 112,226.75 × 112,226.75
  4. Step 4: Simplify right side
    51,192.50x = 12,594,843,415.56
  5. Step 5: Solve for x
    x = 12,594,843,415.56/51,192.50
  6. Step 6: Final answer
    x = 246,029.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.