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Finding the Third Proportional to 96,772 and 146,620

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Solution

The third proportional to 96,772 and 146,620 is: 222,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772 : 146,620 = 146,620 : x
  2. Step 2: Convert to fraction form
    96,772/146,620 = 146,620/x
  3. Step 3: Cross multiply
    96,772x = 146,620 × 146,620
  4. Step 4: Simplify right side
    96,772x = 21,497,424,400
  5. Step 5: Solve for x
    x = 21,497,424,400/96,772
  6. Step 6: Final answer
    x = 222,145.09

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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.