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Finding the Third Proportional to 38,136 and 80,196

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Solution

The third proportional to 38,136 and 80,196 is: 168,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136 : 80,196 = 80,196 : x
  2. Step 2: Convert to fraction form
    38,136/80,196 = 80,196/x
  3. Step 3: Cross multiply
    38,136x = 80,196 × 80,196
  4. Step 4: Simplify right side
    38,136x = 6,431,398,416
  5. Step 5: Solve for x
    x = 6,431,398,416/38,136
  6. Step 6: Final answer
    x = 168,643.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.