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Finding the Third Proportional to 75,835.50 and 165,121.88

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Solution

The third proportional to 75,835.50 and 165,121.88 is: 359,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.50 : 165,121.88 = 165,121.88 : x
  2. Step 2: Convert to fraction form
    75,835.50/165,121.88 = 165,121.88/x
  3. Step 3: Cross multiply
    75,835.50x = 165,121.88 × 165,121.88
  4. Step 4: Simplify right side
    75,835.50x = 27,265,233,603.52
  5. Step 5: Solve for x
    x = 27,265,233,603.52/75,835.50
  6. Step 6: Final answer
    x = 359,531.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.