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Finding the Third Proportional to 120,333.94 and 187,082.16

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Solution

The third proportional to 120,333.94 and 187,082.16 is: 290,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,333.94 : 187,082.16 = 187,082.16 : x
  2. Step 2: Convert to fraction form
    120,333.94/187,082.16 = 187,082.16/x
  3. Step 3: Cross multiply
    120,333.94x = 187,082.16 × 187,082.16
  4. Step 4: Simplify right side
    120,333.94x = 34,999,733,187.15
  5. Step 5: Solve for x
    x = 34,999,733,187.15/120,333.94
  6. Step 6: Final answer
    x = 290,855.05

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Why These Related Problems?

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