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Finding the Third Proportional to 77,977.13 and 125,578.69

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Solution

The third proportional to 77,977.13 and 125,578.69 is: 202,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.13 : 125,578.69 = 125,578.69 : x
  2. Step 2: Convert to fraction form
    77,977.13/125,578.69 = 125,578.69/x
  3. Step 3: Cross multiply
    77,977.13x = 125,578.69 × 125,578.69
  4. Step 4: Simplify right side
    77,977.13x = 15,770,006,754.22
  5. Step 5: Solve for x
    x = 15,770,006,754.22/77,977.13
  6. Step 6: Final answer
    x = 202,238.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.