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Finding the Third Proportional to 107,682 and 165,291

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Solution

The third proportional to 107,682 and 165,291 is: 253,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682 : 165,291 = 165,291 : x
  2. Step 2: Convert to fraction form
    107,682/165,291 = 165,291/x
  3. Step 3: Cross multiply
    107,682x = 165,291 × 165,291
  4. Step 4: Simplify right side
    107,682x = 27,321,114,681
  5. Step 5: Solve for x
    x = 27,321,114,681/107,682
  6. Step 6: Final answer
    x = 253,720.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.