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Finding the Third Proportional to 57,049.95 and 119,994.54

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Solution

The third proportional to 57,049.95 and 119,994.54 is: 252,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.95 : 119,994.54 = 119,994.54 : x
  2. Step 2: Convert to fraction form
    57,049.95/119,994.54 = 119,994.54/x
  3. Step 3: Cross multiply
    57,049.95x = 119,994.54 × 119,994.54
  4. Step 4: Simplify right side
    57,049.95x = 14,398,689,404.82
  5. Step 5: Solve for x
    x = 14,398,689,404.82/57,049.95
  6. Step 6: Final answer
    x = 252,387.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.