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Finding the Third Proportional to 103,306 and 146,227

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Solution

The third proportional to 103,306 and 146,227 is: 206,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306 : 146,227 = 146,227 : x
  2. Step 2: Convert to fraction form
    103,306/146,227 = 146,227/x
  3. Step 3: Cross multiply
    103,306x = 146,227 × 146,227
  4. Step 4: Simplify right side
    103,306x = 21,382,335,529
  5. Step 5: Solve for x
    x = 21,382,335,529/103,306
  6. Step 6: Final answer
    x = 206,980.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.