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Finding the Third Proportional to 81,580 and 167,552

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Solution

The third proportional to 81,580 and 167,552 is: 344,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,580 : 167,552 = 167,552 : x
  2. Step 2: Convert to fraction form
    81,580/167,552 = 167,552/x
  3. Step 3: Cross multiply
    81,580x = 167,552 × 167,552
  4. Step 4: Simplify right side
    81,580x = 28,073,672,704
  5. Step 5: Solve for x
    x = 28,073,672,704/81,580
  6. Step 6: Final answer
    x = 344,124.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.