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Finding the Third Proportional to 120,355 and 187,194

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Solution

The third proportional to 120,355 and 187,194 is: 291,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,355 : 187,194 = 187,194 : x
  2. Step 2: Convert to fraction form
    120,355/187,194 = 187,194/x
  3. Step 3: Cross multiply
    120,355x = 187,194 × 187,194
  4. Step 4: Simplify right side
    120,355x = 35,041,593,636
  5. Step 5: Solve for x
    x = 35,041,593,636/120,355
  6. Step 6: Final answer
    x = 291,151.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.