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Finding the Third Proportional to 36,290.57 and 78,142.61

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Solution

The third proportional to 36,290.57 and 78,142.61 is: 168,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,290.57 : 78,142.61 = 78,142.61 : x
  2. Step 2: Convert to fraction form
    36,290.57/78,142.61 = 78,142.61/x
  3. Step 3: Cross multiply
    36,290.57x = 78,142.61 × 78,142.61
  4. Step 4: Simplify right side
    36,290.57x = 6,106,266,789.44
  5. Step 5: Solve for x
    x = 6,106,266,789.44/36,290.57
  6. Step 6: Final answer
    x = 168,260.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.