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Finding the Third Proportional to 96,961 and 202,747

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Solution

The third proportional to 96,961 and 202,747 is: 423,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,961 : 202,747 = 202,747 : x
  2. Step 2: Convert to fraction form
    96,961/202,747 = 202,747/x
  3. Step 3: Cross multiply
    96,961x = 202,747 × 202,747
  4. Step 4: Simplify right side
    96,961x = 41,106,346,009
  5. Step 5: Solve for x
    x = 41,106,346,009/96,961
  6. Step 6: Final answer
    x = 423,947.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.