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Finding the Third Proportional to 76,671 and 167,592

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Solution

The third proportional to 76,671 and 167,592 is: 366,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671 : 167,592 = 167,592 : x
  2. Step 2: Convert to fraction form
    76,671/167,592 = 167,592/x
  3. Step 3: Cross multiply
    76,671x = 167,592 × 167,592
  4. Step 4: Simplify right side
    76,671x = 28,087,078,464
  5. Step 5: Solve for x
    x = 28,087,078,464/76,671
  6. Step 6: Final answer
    x = 366,332.49

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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.