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Finding the Third Proportional to 38,139.61 and 79,764.75

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Solution

The third proportional to 38,139.61 and 79,764.75 is: 166,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,139.61 : 79,764.75 = 79,764.75 : x
  2. Step 2: Convert to fraction form
    38,139.61/79,764.75 = 79,764.75/x
  3. Step 3: Cross multiply
    38,139.61x = 79,764.75 × 79,764.75
  4. Step 4: Simplify right side
    38,139.61x = 6,362,415,342.56
  5. Step 5: Solve for x
    x = 6,362,415,342.56/38,139.61
  6. Step 6: Final answer
    x = 166,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.