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Finding the Third Proportional to 96,742 and 146,573

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Solution

The third proportional to 96,742 and 146,573 is: 222,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,742 : 146,573 = 146,573 : x
  2. Step 2: Convert to fraction form
    96,742/146,573 = 146,573/x
  3. Step 3: Cross multiply
    96,742x = 146,573 × 146,573
  4. Step 4: Simplify right side
    96,742x = 21,483,644,329
  5. Step 5: Solve for x
    x = 21,483,644,329/96,742
  6. Step 6: Final answer
    x = 222,071.53

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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.