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Finding the Third Proportional to 120,333.50 and 187,081

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Solution

The third proportional to 120,333.50 and 187,081 is: 290,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,333.50 : 187,081 = 187,081 : x
  2. Step 2: Convert to fraction form
    120,333.50/187,081 = 187,081/x
  3. Step 3: Cross multiply
    120,333.50x = 187,081 × 187,081
  4. Step 4: Simplify right side
    120,333.50x = 34,999,300,561
  5. Step 5: Solve for x
    x = 34,999,300,561/120,333.50
  6. Step 6: Final answer
    x = 290,852.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.