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Finding the Third Proportional to 47,650 and 107,443

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Solution

The third proportional to 47,650 and 107,443 is: 242,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 107,443 = 107,443 : x
  2. Step 2: Convert to fraction form
    47,650/107,443 = 107,443/x
  3. Step 3: Cross multiply
    47,650x = 107,443 × 107,443
  4. Step 4: Simplify right side
    47,650x = 11,543,998,249
  5. Step 5: Solve for x
    x = 11,543,998,249/47,650
  6. Step 6: Final answer
    x = 242,266.49

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.