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Finding the Third Proportional to 125,795 and 201,997

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Solution

The third proportional to 125,795 and 201,997 is: 324,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,795 : 201,997 = 201,997 : x
  2. Step 2: Convert to fraction form
    125,795/201,997 = 201,997/x
  3. Step 3: Cross multiply
    125,795x = 201,997 × 201,997
  4. Step 4: Simplify right side
    125,795x = 40,802,788,009
  5. Step 5: Solve for x
    x = 40,802,788,009/125,795
  6. Step 6: Final answer
    x = 324,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.