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Finding the Third Proportional to 25,221 and 55,107

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Solution

The third proportional to 25,221 and 55,107 is: 120,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 55,107 = 55,107 : x
  2. Step 2: Convert to fraction form
    25,221/55,107 = 55,107/x
  3. Step 3: Cross multiply
    25,221x = 55,107 × 55,107
  4. Step 4: Simplify right side
    25,221x = 3,036,781,449
  5. Step 5: Solve for x
    x = 3,036,781,449/25,221
  6. Step 6: Final answer
    x = 120,406.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.