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Finding the Third Proportional to 133,066 and 195,703

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Solution

The third proportional to 133,066 and 195,703 is: 287,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066 : 195,703 = 195,703 : x
  2. Step 2: Convert to fraction form
    133,066/195,703 = 195,703/x
  3. Step 3: Cross multiply
    133,066x = 195,703 × 195,703
  4. Step 4: Simplify right side
    133,066x = 38,299,664,209
  5. Step 5: Solve for x
    x = 38,299,664,209/133,066
  6. Step 6: Final answer
    x = 287,824.57

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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.