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Finding the Third Proportional to 65,879 and 146,497

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Solution

The third proportional to 65,879 and 146,497 is: 325,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,879 : 146,497 = 146,497 : x
  2. Step 2: Convert to fraction form
    65,879/146,497 = 146,497/x
  3. Step 3: Cross multiply
    65,879x = 146,497 × 146,497
  4. Step 4: Simplify right side
    65,879x = 21,461,371,009
  5. Step 5: Solve for x
    x = 21,461,371,009/65,879
  6. Step 6: Final answer
    x = 325,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.