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Finding the Third Proportional to 47,642 and 106,561

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Solution

The third proportional to 47,642 and 106,561 is: 238,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642 : 106,561 = 106,561 : x
  2. Step 2: Convert to fraction form
    47,642/106,561 = 106,561/x
  3. Step 3: Cross multiply
    47,642x = 106,561 × 106,561
  4. Step 4: Simplify right side
    47,642x = 11,355,246,721
  5. Step 5: Solve for x
    x = 11,355,246,721/47,642
  6. Step 6: Final answer
    x = 238,345.30

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.