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Finding the Third Proportional to 103,901 and 151,963

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Solution

The third proportional to 103,901 and 151,963 is: 222,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901 : 151,963 = 151,963 : x
  2. Step 2: Convert to fraction form
    103,901/151,963 = 151,963/x
  3. Step 3: Cross multiply
    103,901x = 151,963 × 151,963
  4. Step 4: Simplify right side
    103,901x = 23,092,753,369
  5. Step 5: Solve for x
    x = 23,092,753,369/103,901
  6. Step 6: Final answer
    x = 222,257.28

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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.