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Finding the Third Proportional to 50,110 and 107,972

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Solution

The third proportional to 50,110 and 107,972 is: 232,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,110 : 107,972 = 107,972 : x
  2. Step 2: Convert to fraction form
    50,110/107,972 = 107,972/x
  3. Step 3: Cross multiply
    50,110x = 107,972 × 107,972
  4. Step 4: Simplify right side
    50,110x = 11,657,952,784
  5. Step 5: Solve for x
    x = 11,657,952,784/50,110
  6. Step 6: Final answer
    x = 232,647.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.