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Finding the Third Proportional to 135,130.50 and 211,965.75

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Solution

The third proportional to 135,130.50 and 211,965.75 is: 332,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,130.50 : 211,965.75 = 211,965.75 : x
  2. Step 2: Convert to fraction form
    135,130.50/211,965.75 = 211,965.75/x
  3. Step 3: Cross multiply
    135,130.50x = 211,965.75 × 211,965.75
  4. Step 4: Simplify right side
    135,130.50x = 44,929,479,173.06
  5. Step 5: Solve for x
    x = 44,929,479,173.06/135,130.50
  6. Step 6: Final answer
    x = 332,489.55

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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.