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Finding the Third Proportional to 22,523 and 52,136

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Solution

The third proportional to 22,523 and 52,136 is: 120,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523 : 52,136 = 52,136 : x
  2. Step 2: Convert to fraction form
    22,523/52,136 = 52,136/x
  3. Step 3: Cross multiply
    22,523x = 52,136 × 52,136
  4. Step 4: Simplify right side
    22,523x = 2,718,162,496
  5. Step 5: Solve for x
    x = 2,718,162,496/22,523
  6. Step 6: Final answer
    x = 120,683.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.