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Finding the Third Proportional to 59,136 and 129,198

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Solution

The third proportional to 59,136 and 129,198 is: 282,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,136 : 129,198 = 129,198 : x
  2. Step 2: Convert to fraction form
    59,136/129,198 = 129,198/x
  3. Step 3: Cross multiply
    59,136x = 129,198 × 129,198
  4. Step 4: Simplify right side
    59,136x = 16,692,123,204
  5. Step 5: Solve for x
    x = 16,692,123,204/59,136
  6. Step 6: Final answer
    x = 282,266.69

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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.