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Finding the Third Proportional to 40,936 and 88,136

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Solution

The third proportional to 40,936 and 88,136 is: 189,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,936 : 88,136 = 88,136 : x
  2. Step 2: Convert to fraction form
    40,936/88,136 = 88,136/x
  3. Step 3: Cross multiply
    40,936x = 88,136 × 88,136
  4. Step 4: Simplify right side
    40,936x = 7,767,954,496
  5. Step 5: Solve for x
    x = 7,767,954,496/40,936
  6. Step 6: Final answer
    x = 189,758.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.