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Finding the Third Proportional to 133,069 and 146,191

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Solution

The third proportional to 133,069 and 146,191 is: 160,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069 : 146,191 = 146,191 : x
  2. Step 2: Convert to fraction form
    133,069/146,191 = 146,191/x
  3. Step 3: Cross multiply
    133,069x = 146,191 × 146,191
  4. Step 4: Simplify right side
    133,069x = 21,371,808,481
  5. Step 5: Solve for x
    x = 21,371,808,481/133,069
  6. Step 6: Final answer
    x = 160,606.97

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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.