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Finding the Third Proportional to 50,091 and 107,957

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Solution

The third proportional to 50,091 and 107,957 is: 232,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,091 : 107,957 = 107,957 : x
  2. Step 2: Convert to fraction form
    50,091/107,957 = 107,957/x
  3. Step 3: Cross multiply
    50,091x = 107,957 × 107,957
  4. Step 4: Simplify right side
    50,091x = 11,654,713,849
  5. Step 5: Solve for x
    x = 11,654,713,849/50,091
  6. Step 6: Final answer
    x = 232,670.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.