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Finding the Third Proportional to 109,186 and 165,749

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Solution

The third proportional to 109,186 and 165,749 is: 251,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,186 : 165,749 = 165,749 : x
  2. Step 2: Convert to fraction form
    109,186/165,749 = 165,749/x
  3. Step 3: Cross multiply
    109,186x = 165,749 × 165,749
  4. Step 4: Simplify right side
    109,186x = 27,472,731,001
  5. Step 5: Solve for x
    x = 27,472,731,001/109,186
  6. Step 6: Final answer
    x = 251,614.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.