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Finding the Third Proportional to 96,765 and 146,606

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Solution

The third proportional to 96,765 and 146,606 is: 222,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,765 : 146,606 = 146,606 : x
  2. Step 2: Convert to fraction form
    96,765/146,606 = 146,606/x
  3. Step 3: Cross multiply
    96,765x = 146,606 × 146,606
  4. Step 4: Simplify right side
    96,765x = 21,493,319,236
  5. Step 5: Solve for x
    x = 21,493,319,236/96,765
  6. Step 6: Final answer
    x = 222,118.73

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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.