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Finding the Third Proportional to 96,763 and 205,270

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Solution

The third proportional to 96,763 and 205,270 is: 435,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,763 : 205,270 = 205,270 : x
  2. Step 2: Convert to fraction form
    96,763/205,270 = 205,270/x
  3. Step 3: Cross multiply
    96,763x = 205,270 × 205,270
  4. Step 4: Simplify right side
    96,763x = 42,135,772,900
  5. Step 5: Solve for x
    x = 42,135,772,900/96,763
  6. Step 6: Final answer
    x = 435,453.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.