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Finding the Third Proportional to 38,142.56 and 79,770.56

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Solution

The third proportional to 38,142.56 and 79,770.56 is: 166,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.56 : 79,770.56 = 79,770.56 : x
  2. Step 2: Convert to fraction form
    38,142.56/79,770.56 = 79,770.56/x
  3. Step 3: Cross multiply
    38,142.56x = 79,770.56 × 79,770.56
  4. Step 4: Simplify right side
    38,142.56x = 6,363,342,641.57
  5. Step 5: Solve for x
    x = 6,363,342,641.57/38,142.56
  6. Step 6: Final answer
    x = 166,830.50

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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.