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Finding the Third Proportional to 39,512 and 93,272

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Solution

The third proportional to 39,512 and 93,272 is: 220,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 93,272 = 93,272 : x
  2. Step 2: Convert to fraction form
    39,512/93,272 = 93,272/x
  3. Step 3: Cross multiply
    39,512x = 93,272 × 93,272
  4. Step 4: Simplify right side
    39,512x = 8,699,665,984
  5. Step 5: Solve for x
    x = 8,699,665,984/39,512
  6. Step 6: Final answer
    x = 220,177.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.