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Finding the Third Proportional to 135,785.75 and 205,425.75

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Solution

The third proportional to 135,785.75 and 205,425.75 is: 310,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,785.75 : 205,425.75 = 205,425.75 : x
  2. Step 2: Convert to fraction form
    135,785.75/205,425.75 = 205,425.75/x
  3. Step 3: Cross multiply
    135,785.75x = 205,425.75 × 205,425.75
  4. Step 4: Simplify right side
    135,785.75x = 42,199,738,763.06
  5. Step 5: Solve for x
    x = 42,199,738,763.06/135,785.75
  6. Step 6: Final answer
    x = 310,781.79

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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.