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Finding the Third Proportional to 121,795 and 191,327

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Solution

The third proportional to 121,795 and 191,327 is: 300,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,795 : 191,327 = 191,327 : x
  2. Step 2: Convert to fraction form
    121,795/191,327 = 191,327/x
  3. Step 3: Cross multiply
    121,795x = 191,327 × 191,327
  4. Step 4: Simplify right side
    121,795x = 36,606,020,929
  5. Step 5: Solve for x
    x = 36,606,020,929/121,795
  6. Step 6: Final answer
    x = 300,554.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.