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Finding the Third Proportional to 27,616 and 59,102

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Solution

The third proportional to 27,616 and 59,102 is: 126,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616 : 59,102 = 59,102 : x
  2. Step 2: Convert to fraction form
    27,616/59,102 = 59,102/x
  3. Step 3: Cross multiply
    27,616x = 59,102 × 59,102
  4. Step 4: Simplify right side
    27,616x = 3,493,046,404
  5. Step 5: Solve for x
    x = 3,493,046,404/27,616
  6. Step 6: Final answer
    x = 126,486.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.