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Finding the Third Proportional to 109,890 and 165,174.75

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Solution

The third proportional to 109,890 and 165,174.75 is: 248,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,890 : 165,174.75 = 165,174.75 : x
  2. Step 2: Convert to fraction form
    109,890/165,174.75 = 165,174.75/x
  3. Step 3: Cross multiply
    109,890x = 165,174.75 × 165,174.75
  4. Step 4: Simplify right side
    109,890x = 27,282,698,037.56
  5. Step 5: Solve for x
    x = 27,282,698,037.56/109,890
  6. Step 6: Final answer
    x = 248,272.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.