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Finding the Third Proportional to 75,906 and 166,328

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Solution

The third proportional to 75,906 and 166,328 is: 364,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906 : 166,328 = 166,328 : x
  2. Step 2: Convert to fraction form
    75,906/166,328 = 166,328/x
  3. Step 3: Cross multiply
    75,906x = 166,328 × 166,328
  4. Step 4: Simplify right side
    75,906x = 27,665,003,584
  5. Step 5: Solve for x
    x = 27,665,003,584/75,906
  6. Step 6: Final answer
    x = 364,463.99

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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.