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Finding the Third Proportional to 76,740.75 and 166,092.19

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Solution

The third proportional to 76,740.75 and 166,092.19 is: 359,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,740.75 : 166,092.19 = 166,092.19 : x
  2. Step 2: Convert to fraction form
    76,740.75/166,092.19 = 166,092.19/x
  3. Step 3: Cross multiply
    76,740.75x = 166,092.19 × 166,092.19
  4. Step 4: Simplify right side
    76,740.75x = 27,586,614,748.54
  5. Step 5: Solve for x
    x = 27,586,614,748.54/76,740.75
  6. Step 6: Final answer
    x = 359,478.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.