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Finding the Third Proportional to 94,848 and 138,366

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Solution

The third proportional to 94,848 and 138,366 is: 201,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848 : 138,366 = 138,366 : x
  2. Step 2: Convert to fraction form
    94,848/138,366 = 138,366/x
  3. Step 3: Cross multiply
    94,848x = 138,366 × 138,366
  4. Step 4: Simplify right side
    94,848x = 19,145,149,956
  5. Step 5: Solve for x
    x = 19,145,149,956/94,848
  6. Step 6: Final answer
    x = 201,850.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.