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Finding the Third Proportional to 96,765 and 146,607

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Solution

The third proportional to 96,765 and 146,607 is: 222,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765 : 146,607 = 146,607 : x
  2. Step 2: Convert to fraction form
    96,765/146,607 = 146,607/x
  3. Step 3: Cross multiply
    96,765x = 146,607 × 146,607
  4. Step 4: Simplify right side
    96,765x = 21,493,612,449
  5. Step 5: Solve for x
    x = 21,493,612,449/96,765
  6. Step 6: Final answer
    x = 222,121.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.