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Finding the Third Proportional to 133,611 and 196,035

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Solution

The third proportional to 133,611 and 196,035 is: 287,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,611 : 196,035 = 196,035 : x
  2. Step 2: Convert to fraction form
    133,611/196,035 = 196,035/x
  3. Step 3: Cross multiply
    133,611x = 196,035 × 196,035
  4. Step 4: Simplify right side
    133,611x = 38,429,721,225
  5. Step 5: Solve for x
    x = 38,429,721,225/133,611
  6. Step 6: Final answer
    x = 287,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.