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Finding the Third Proportional to 27,136 and 59,720

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Solution

The third proportional to 27,136 and 59,720 is: 131,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136 : 59,720 = 59,720 : x
  2. Step 2: Convert to fraction form
    27,136/59,720 = 59,720/x
  3. Step 3: Cross multiply
    27,136x = 59,720 × 59,720
  4. Step 4: Simplify right side
    27,136x = 3,566,478,400
  5. Step 5: Solve for x
    x = 3,566,478,400/27,136
  6. Step 6: Final answer
    x = 131,429.78

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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.