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Finding the Third Proportional to 76,079 and 167,710

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Solution

The third proportional to 76,079 and 167,710 is: 369,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,079 : 167,710 = 167,710 : x
  2. Step 2: Convert to fraction form
    76,079/167,710 = 167,710/x
  3. Step 3: Cross multiply
    76,079x = 167,710 × 167,710
  4. Step 4: Simplify right side
    76,079x = 28,126,644,100
  5. Step 5: Solve for x
    x = 28,126,644,100/76,079
  6. Step 6: Final answer
    x = 369,703.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.