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Finding the Third Proportional to 77,742 and 166,544

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Solution

The third proportional to 77,742 and 166,544 is: 356,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 166,544 = 166,544 : x
  2. Step 2: Convert to fraction form
    77,742/166,544 = 166,544/x
  3. Step 3: Cross multiply
    77,742x = 166,544 × 166,544
  4. Step 4: Simplify right side
    77,742x = 27,736,903,936
  5. Step 5: Solve for x
    x = 27,736,903,936/77,742
  6. Step 6: Final answer
    x = 356,781.46

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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.