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Finding the Third Proportional to 36,136 and 56,761

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Solution

The third proportional to 36,136 and 56,761 is: 89,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,136 : 56,761 = 56,761 : x
  2. Step 2: Convert to fraction form
    36,136/56,761 = 56,761/x
  3. Step 3: Cross multiply
    36,136x = 56,761 × 56,761
  4. Step 4: Simplify right side
    36,136x = 3,221,811,121
  5. Step 5: Solve for x
    x = 3,221,811,121/36,136
  6. Step 6: Final answer
    x = 89,157.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.