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Finding the Third Proportional to 52,975.13 and 80,002.69

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Solution

The third proportional to 52,975.13 and 80,002.69 is: 120,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,975.13 : 80,002.69 = 80,002.69 : x
  2. Step 2: Convert to fraction form
    52,975.13/80,002.69 = 80,002.69/x
  3. Step 3: Cross multiply
    52,975.13x = 80,002.69 × 80,002.69
  4. Step 4: Simplify right side
    52,975.13x = 6,400,430,007.22
  5. Step 5: Solve for x
    x = 6,400,430,007.22/52,975.13
  6. Step 6: Final answer
    x = 120,819.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.