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Finding the Third Proportional to 76,484 and 167,080

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Solution

The third proportional to 76,484 and 167,080 is: 364,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484 : 167,080 = 167,080 : x
  2. Step 2: Convert to fraction form
    76,484/167,080 = 167,080/x
  3. Step 3: Cross multiply
    76,484x = 167,080 × 167,080
  4. Step 4: Simplify right side
    76,484x = 27,915,726,400
  5. Step 5: Solve for x
    x = 27,915,726,400/76,484
  6. Step 6: Final answer
    x = 364,987.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.