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Finding the Third Proportional to 80,962.88 and 165,145.50

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Solution

The third proportional to 80,962.88 and 165,145.50 is: 336,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,962.88 : 165,145.50 = 165,145.50 : x
  2. Step 2: Convert to fraction form
    80,962.88/165,145.50 = 165,145.50/x
  3. Step 3: Cross multiply
    80,962.88x = 165,145.50 × 165,145.50
  4. Step 4: Simplify right side
    80,962.88x = 27,273,036,170.25
  5. Step 5: Solve for x
    x = 27,273,036,170.25/80,962.88
  6. Step 6: Final answer
    x = 336,858.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.