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Finding the Third Proportional to 27,136 and 59,171

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Solution

The third proportional to 27,136 and 59,171 is: 129,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136 : 59,171 = 59,171 : x
  2. Step 2: Convert to fraction form
    27,136/59,171 = 59,171/x
  3. Step 3: Cross multiply
    27,136x = 59,171 × 59,171
  4. Step 4: Simplify right side
    27,136x = 3,501,207,241
  5. Step 5: Solve for x
    x = 3,501,207,241/27,136
  6. Step 6: Final answer
    x = 129,024.44

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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.