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Finding the Third Proportional to 96,609 and 147,795

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Solution

The third proportional to 96,609 and 147,795 is: 226,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,609 : 147,795 = 147,795 : x
  2. Step 2: Convert to fraction form
    96,609/147,795 = 147,795/x
  3. Step 3: Cross multiply
    96,609x = 147,795 × 147,795
  4. Step 4: Simplify right side
    96,609x = 21,843,362,025
  5. Step 5: Solve for x
    x = 21,843,362,025/96,609
  6. Step 6: Final answer
    x = 226,100.69

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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.