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Finding the Third Proportional to 76,534 and 167,836

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Solution

The third proportional to 76,534 and 167,836 is: 368,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,534 : 167,836 = 167,836 : x
  2. Step 2: Convert to fraction form
    76,534/167,836 = 167,836/x
  3. Step 3: Cross multiply
    76,534x = 167,836 × 167,836
  4. Step 4: Simplify right side
    76,534x = 28,168,922,896
  5. Step 5: Solve for x
    x = 28,168,922,896/76,534
  6. Step 6: Final answer
    x = 368,057.63

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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.