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Finding the Third Proportional to 121,446 and 190,116

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Solution

The third proportional to 121,446 and 190,116 is: 297,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,446 : 190,116 = 190,116 : x
  2. Step 2: Convert to fraction form
    121,446/190,116 = 190,116/x
  3. Step 3: Cross multiply
    121,446x = 190,116 × 190,116
  4. Step 4: Simplify right side
    121,446x = 36,144,093,456
  5. Step 5: Solve for x
    x = 36,144,093,456/121,446
  6. Step 6: Final answer
    x = 297,614.52

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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.