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Finding the Third Proportional to 133,938 and 202,635

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Solution

The third proportional to 133,938 and 202,635 is: 306,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,938 : 202,635 = 202,635 : x
  2. Step 2: Convert to fraction form
    133,938/202,635 = 202,635/x
  3. Step 3: Cross multiply
    133,938x = 202,635 × 202,635
  4. Step 4: Simplify right side
    133,938x = 41,060,943,225
  5. Step 5: Solve for x
    x = 41,060,943,225/133,938
  6. Step 6: Final answer
    x = 306,566.79

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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.