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Finding the Third Proportional to 66,191 and 146,206

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Solution

The third proportional to 66,191 and 146,206 is: 322,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,191 : 146,206 = 146,206 : x
  2. Step 2: Convert to fraction form
    66,191/146,206 = 146,206/x
  3. Step 3: Cross multiply
    66,191x = 146,206 × 146,206
  4. Step 4: Simplify right side
    66,191x = 21,376,194,436
  5. Step 5: Solve for x
    x = 21,376,194,436/66,191
  6. Step 6: Final answer
    x = 322,947.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.