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Finding the Third Proportional to 96,764 and 146,605

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Solution

The third proportional to 96,764 and 146,605 is: 222,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,764 : 146,605 = 146,605 : x
  2. Step 2: Convert to fraction form
    96,764/146,605 = 146,605/x
  3. Step 3: Cross multiply
    96,764x = 146,605 × 146,605
  4. Step 4: Simplify right side
    96,764x = 21,493,026,025
  5. Step 5: Solve for x
    x = 21,493,026,025/96,764
  6. Step 6: Final answer
    x = 222,118.00

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