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Finding the Third Proportional to 27,374 and 60,136

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Solution

The third proportional to 27,374 and 60,136 is: 132,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 60,136 = 60,136 : x
  2. Step 2: Convert to fraction form
    27,374/60,136 = 60,136/x
  3. Step 3: Cross multiply
    27,374x = 60,136 × 60,136
  4. Step 4: Simplify right side
    27,374x = 3,616,338,496
  5. Step 5: Solve for x
    x = 3,616,338,496/27,374
  6. Step 6: Final answer
    x = 132,108.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.