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Finding the Third Proportional to 75,613.50 and 114,027.38

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Solution

The third proportional to 75,613.50 and 114,027.38 is: 171,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613.50 : 114,027.38 = 114,027.38 : x
  2. Step 2: Convert to fraction form
    75,613.50/114,027.38 = 114,027.38/x
  3. Step 3: Cross multiply
    75,613.50x = 114,027.38 × 114,027.38
  4. Step 4: Simplify right side
    75,613.50x = 13,002,242,249.39
  5. Step 5: Solve for x
    x = 13,002,242,249.39/75,613.50
  6. Step 6: Final answer
    x = 171,956.62

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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.