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Finding the Third Proportional to 27,056 and 62,136

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Solution

The third proportional to 27,056 and 62,136 is: 142,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 62,136 = 62,136 : x
  2. Step 2: Convert to fraction form
    27,056/62,136 = 62,136/x
  3. Step 3: Cross multiply
    27,056x = 62,136 × 62,136
  4. Step 4: Simplify right side
    27,056x = 3,860,882,496
  5. Step 5: Solve for x
    x = 3,860,882,496/27,056
  6. Step 6: Final answer
    x = 142,699.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.