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Finding the Third Proportional to 57,729 and 119,994

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Solution

The third proportional to 57,729 and 119,994 is: 249,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729 : 119,994 = 119,994 : x
  2. Step 2: Convert to fraction form
    57,729/119,994 = 119,994/x
  3. Step 3: Cross multiply
    57,729x = 119,994 × 119,994
  4. Step 4: Simplify right side
    57,729x = 14,398,560,036
  5. Step 5: Solve for x
    x = 14,398,560,036/57,729
  6. Step 6: Final answer
    x = 249,416.41

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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.