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Finding the Third Proportional to 100,879 and 146,566

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Solution

The third proportional to 100,879 and 146,566 is: 212,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,879 : 146,566 = 146,566 : x
  2. Step 2: Convert to fraction form
    100,879/146,566 = 146,566/x
  3. Step 3: Cross multiply
    100,879x = 146,566 × 146,566
  4. Step 4: Simplify right side
    100,879x = 21,481,592,356
  5. Step 5: Solve for x
    x = 21,481,592,356/100,879
  6. Step 6: Final answer
    x = 212,944.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.