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Finding the Third Proportional to 96,522 and 146,751

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Solution

The third proportional to 96,522 and 146,751 is: 223,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,522 : 146,751 = 146,751 : x
  2. Step 2: Convert to fraction form
    96,522/146,751 = 146,751/x
  3. Step 3: Cross multiply
    96,522x = 146,751 × 146,751
  4. Step 4: Simplify right side
    96,522x = 21,535,856,001
  5. Step 5: Solve for x
    x = 21,535,856,001/96,522
  6. Step 6: Final answer
    x = 223,118.63

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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.