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Finding the Third Proportional to 76,356 and 166,272

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Solution

The third proportional to 76,356 and 166,272 is: 362,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356 : 166,272 = 166,272 : x
  2. Step 2: Convert to fraction form
    76,356/166,272 = 166,272/x
  3. Step 3: Cross multiply
    76,356x = 166,272 × 166,272
  4. Step 4: Simplify right side
    76,356x = 27,646,377,984
  5. Step 5: Solve for x
    x = 27,646,377,984/76,356
  6. Step 6: Final answer
    x = 362,072.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.