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Finding the Third Proportional to 47,721 and 96,262

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Solution

The third proportional to 47,721 and 96,262 is: 194,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,721 : 96,262 = 96,262 : x
  2. Step 2: Convert to fraction form
    47,721/96,262 = 96,262/x
  3. Step 3: Cross multiply
    47,721x = 96,262 × 96,262
  4. Step 4: Simplify right side
    47,721x = 9,266,372,644
  5. Step 5: Solve for x
    x = 9,266,372,644/47,721
  6. Step 6: Final answer
    x = 194,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.