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Finding the Third Proportional to 76,542 and 166,365

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Solution

The third proportional to 76,542 and 166,365 is: 361,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542 : 166,365 = 166,365 : x
  2. Step 2: Convert to fraction form
    76,542/166,365 = 166,365/x
  3. Step 3: Cross multiply
    76,542x = 166,365 × 166,365
  4. Step 4: Simplify right side
    76,542x = 27,677,313,225
  5. Step 5: Solve for x
    x = 27,677,313,225/76,542
  6. Step 6: Final answer
    x = 361,596.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.