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Finding the Third Proportional to 62,136 and 79,812

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Solution

The third proportional to 62,136 and 79,812 is: 102,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,136 : 79,812 = 79,812 : x
  2. Step 2: Convert to fraction form
    62,136/79,812 = 79,812/x
  3. Step 3: Cross multiply
    62,136x = 79,812 × 79,812
  4. Step 4: Simplify right side
    62,136x = 6,369,955,344
  5. Step 5: Solve for x
    x = 6,369,955,344/62,136
  6. Step 6: Final answer
    x = 102,516.34

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.