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Finding the Third Proportional to 75,613.50 and 114,028.13

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Solution

The third proportional to 75,613.50 and 114,028.13 is: 171,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613.50 : 114,028.13 = 114,028.13 : x
  2. Step 2: Convert to fraction form
    75,613.50/114,028.13 = 114,028.13/x
  3. Step 3: Cross multiply
    75,613.50x = 114,028.13 × 114,028.13
  4. Step 4: Simplify right side
    75,613.50x = 13,002,413,291.02
  5. Step 5: Solve for x
    x = 13,002,413,291.02/75,613.50
  6. Step 6: Final answer
    x = 171,958.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.