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Finding the Third Proportional to 54,011.50 and 79,193

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Solution

The third proportional to 54,011.50 and 79,193 is: 116,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,011.50 : 79,193 = 79,193 : x
  2. Step 2: Convert to fraction form
    54,011.50/79,193 = 79,193/x
  3. Step 3: Cross multiply
    54,011.50x = 79,193 × 79,193
  4. Step 4: Simplify right side
    54,011.50x = 6,271,531,249
  5. Step 5: Solve for x
    x = 6,271,531,249/54,011.50
  6. Step 6: Final answer
    x = 116,114.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.