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Finding the Third Proportional to 57,698.25 and 119,982.75

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Solution

The third proportional to 57,698.25 and 119,982.75 is: 249,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698.25 : 119,982.75 = 119,982.75 : x
  2. Step 2: Convert to fraction form
    57,698.25/119,982.75 = 119,982.75/x
  3. Step 3: Cross multiply
    57,698.25x = 119,982.75 × 119,982.75
  4. Step 4: Simplify right side
    57,698.25x = 14,395,860,297.56
  5. Step 5: Solve for x
    x = 14,395,860,297.56/57,698.25
  6. Step 6: Final answer
    x = 249,502.55

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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.