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Finding the Third Proportional to 133,096.50 and 201,234

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Solution

The third proportional to 133,096.50 and 201,234 is: 304,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096.50 : 201,234 = 201,234 : x
  2. Step 2: Convert to fraction form
    133,096.50/201,234 = 201,234/x
  3. Step 3: Cross multiply
    133,096.50x = 201,234 × 201,234
  4. Step 4: Simplify right side
    133,096.50x = 40,495,122,756
  5. Step 5: Solve for x
    x = 40,495,122,756/133,096.50
  6. Step 6: Final answer
    x = 304,253.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.