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Finding the Third Proportional to 123,041.53 and 192,763.55

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Solution

The third proportional to 123,041.53 and 192,763.55 is: 301,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,041.53 : 192,763.55 = 192,763.55 : x
  2. Step 2: Convert to fraction form
    123,041.53/192,763.55 = 192,763.55/x
  3. Step 3: Cross multiply
    123,041.53x = 192,763.55 × 192,763.55
  4. Step 4: Simplify right side
    123,041.53x = 37,157,785,003.83
  5. Step 5: Solve for x
    x = 37,157,785,003.83/123,041.53
  6. Step 6: Final answer
    x = 301,993.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.