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Finding the Third Proportional to 135,132.75 and 211,980.38

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Solution

The third proportional to 135,132.75 and 211,980.38 is: 332,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,132.75 : 211,980.38 = 211,980.38 : x
  2. Step 2: Convert to fraction form
    135,132.75/211,980.38 = 211,980.38/x
  3. Step 3: Cross multiply
    135,132.75x = 211,980.38 × 211,980.38
  4. Step 4: Simplify right side
    135,132.75x = 44,935,679,385.14
  5. Step 5: Solve for x
    x = 44,935,679,385.14/135,132.75
  6. Step 6: Final answer
    x = 332,529.90

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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.