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Finding the Third Proportional to 77,737 and 166,529

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Solution

The third proportional to 77,737 and 166,529 is: 356,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737 : 166,529 = 166,529 : x
  2. Step 2: Convert to fraction form
    77,737/166,529 = 166,529/x
  3. Step 3: Cross multiply
    77,737x = 166,529 × 166,529
  4. Step 4: Simplify right side
    77,737x = 27,731,907,841
  5. Step 5: Solve for x
    x = 27,731,907,841/77,737
  6. Step 6: Final answer
    x = 356,740.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.