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Finding the Third Proportional to 76,080 and 166,497

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Solution

The third proportional to 76,080 and 166,497 is: 364,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,080 : 166,497 = 166,497 : x
  2. Step 2: Convert to fraction form
    76,080/166,497 = 166,497/x
  3. Step 3: Cross multiply
    76,080x = 166,497 × 166,497
  4. Step 4: Simplify right side
    76,080x = 27,721,251,009
  5. Step 5: Solve for x
    x = 27,721,251,009/76,080
  6. Step 6: Final answer
    x = 364,369.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.