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Finding the Third Proportional to 76,592 and 167,408

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Solution

The third proportional to 76,592 and 167,408 is: 365,905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,592 : 167,408 = 167,408 : x
  2. Step 2: Convert to fraction form
    76,592/167,408 = 167,408/x
  3. Step 3: Cross multiply
    76,592x = 167,408 × 167,408
  4. Step 4: Simplify right side
    76,592x = 28,025,438,464
  5. Step 5: Solve for x
    x = 28,025,438,464/76,592
  6. Step 6: Final answer
    x = 365,905.56

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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.