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Finding the Third Proportional to 36,059.98 and 78,469.59

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Solution

The third proportional to 36,059.98 and 78,469.59 is: 170,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,059.98 : 78,469.59 = 78,469.59 : x
  2. Step 2: Convert to fraction form
    36,059.98/78,469.59 = 78,469.59/x
  3. Step 3: Cross multiply
    36,059.98x = 78,469.59 × 78,469.59
  4. Step 4: Simplify right side
    36,059.98x = 6,157,477,143.29
  5. Step 5: Solve for x
    x = 6,157,477,143.29/36,059.98
  6. Step 6: Final answer
    x = 170,756.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.