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Finding the Third Proportional to 96,763 and 146,603

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Solution

The third proportional to 96,763 and 146,603 is: 222,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,763 : 146,603 = 146,603 : x
  2. Step 2: Convert to fraction form
    96,763/146,603 = 146,603/x
  3. Step 3: Cross multiply
    96,763x = 146,603 × 146,603
  4. Step 4: Simplify right side
    96,763x = 21,492,439,609
  5. Step 5: Solve for x
    x = 21,492,439,609/96,763
  6. Step 6: Final answer
    x = 222,114.23

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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.