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Finding the Third Proportional to 135,114.75 and 202,186.13

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Solution

The third proportional to 135,114.75 and 202,186.13 is: 302,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114.75 : 202,186.13 = 202,186.13 : x
  2. Step 2: Convert to fraction form
    135,114.75/202,186.13 = 202,186.13/x
  3. Step 3: Cross multiply
    135,114.75x = 202,186.13 × 202,186.13
  4. Step 4: Simplify right side
    135,114.75x = 40,879,229,142.52
  5. Step 5: Solve for x
    x = 40,879,229,142.52/135,114.75
  6. Step 6: Final answer
    x = 302,551.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.