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Finding the Third Proportional to 76,852.55 and 165,186.84

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Solution

The third proportional to 76,852.55 and 165,186.84 is: 355,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,852.55 : 165,186.84 = 165,186.84 : x
  2. Step 2: Convert to fraction form
    76,852.55/165,186.84 = 165,186.84/x
  3. Step 3: Cross multiply
    76,852.55x = 165,186.84 × 165,186.84
  4. Step 4: Simplify right side
    76,852.55x = 27,286,693,348.09
  5. Step 5: Solve for x
    x = 27,286,693,348.09/76,852.55
  6. Step 6: Final answer
    x = 355,052.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.