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Finding the Third Proportional to 133,073 and 146,195

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Solution

The third proportional to 133,073 and 146,195 is: 160,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073 : 146,195 = 146,195 : x
  2. Step 2: Convert to fraction form
    133,073/146,195 = 146,195/x
  3. Step 3: Cross multiply
    133,073x = 146,195 × 146,195
  4. Step 4: Simplify right side
    133,073x = 21,372,978,025
  5. Step 5: Solve for x
    x = 21,372,978,025/133,073
  6. Step 6: Final answer
    x = 160,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.