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Finding the Third Proportional to 96,760 and 146,599

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Solution

The third proportional to 96,760 and 146,599 is: 222,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,760 : 146,599 = 146,599 : x
  2. Step 2: Convert to fraction form
    96,760/146,599 = 146,599/x
  3. Step 3: Cross multiply
    96,760x = 146,599 × 146,599
  4. Step 4: Simplify right side
    96,760x = 21,491,266,801
  5. Step 5: Solve for x
    x = 21,491,266,801/96,760
  6. Step 6: Final answer
    x = 222,109.00

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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.