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Finding the Third Proportional to 57,729.38 and 119,994.75

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Solution

The third proportional to 57,729.38 and 119,994.75 is: 249,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.38 : 119,994.75 = 119,994.75 : x
  2. Step 2: Convert to fraction form
    57,729.38/119,994.75 = 119,994.75/x
  3. Step 3: Cross multiply
    57,729.38x = 119,994.75 × 119,994.75
  4. Step 4: Simplify right side
    57,729.38x = 14,398,740,027.56
  5. Step 5: Solve for x
    x = 14,398,740,027.56/57,729.38
  6. Step 6: Final answer
    x = 249,417.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.