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Finding the Third Proportional to 96,772 and 147,932

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Solution

The third proportional to 96,772 and 147,932 is: 226,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772 : 147,932 = 147,932 : x
  2. Step 2: Convert to fraction form
    96,772/147,932 = 147,932/x
  3. Step 3: Cross multiply
    96,772x = 147,932 × 147,932
  4. Step 4: Simplify right side
    96,772x = 21,883,876,624
  5. Step 5: Solve for x
    x = 21,883,876,624/96,772
  6. Step 6: Final answer
    x = 226,138.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.