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Finding the Third Proportional to 77,993.06 and 123,391.88

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Solution

The third proportional to 77,993.06 and 123,391.88 is: 195,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.06 : 123,391.88 = 123,391.88 : x
  2. Step 2: Convert to fraction form
    77,993.06/123,391.88 = 123,391.88/x
  3. Step 3: Cross multiply
    77,993.06x = 123,391.88 × 123,391.88
  4. Step 4: Simplify right side
    77,993.06x = 15,225,554,816.02
  5. Step 5: Solve for x
    x = 15,225,554,816.02/77,993.06
  6. Step 6: Final answer
    x = 195,216.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.