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Finding the Third Proportional to 77,523 and 166,877

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Solution

The third proportional to 77,523 and 166,877 is: 359,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,523 : 166,877 = 166,877 : x
  2. Step 2: Convert to fraction form
    77,523/166,877 = 166,877/x
  3. Step 3: Cross multiply
    77,523x = 166,877 × 166,877
  4. Step 4: Simplify right side
    77,523x = 27,847,933,129
  5. Step 5: Solve for x
    x = 27,847,933,129/77,523
  6. Step 6: Final answer
    x = 359,221.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.