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Finding the Third Proportional to 117,023.50 and 252,073

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Solution

The third proportional to 117,023.50 and 252,073 is: 542,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,023.50 : 252,073 = 252,073 : x
  2. Step 2: Convert to fraction form
    117,023.50/252,073 = 252,073/x
  3. Step 3: Cross multiply
    117,023.50x = 252,073 × 252,073
  4. Step 4: Simplify right side
    117,023.50x = 63,540,797,329
  5. Step 5: Solve for x
    x = 63,540,797,329/117,023.50
  6. Step 6: Final answer
    x = 542,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.