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Finding the Third Proportional to 135,096 and 296,136

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Solution

The third proportional to 135,096 and 296,136 is: 649,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096 : 296,136 = 296,136 : x
  2. Step 2: Convert to fraction form
    135,096/296,136 = 296,136/x
  3. Step 3: Cross multiply
    135,096x = 296,136 × 296,136
  4. Step 4: Simplify right side
    135,096x = 87,696,530,496
  5. Step 5: Solve for x
    x = 87,696,530,496/135,096
  6. Step 6: Final answer
    x = 649,142.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.