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Finding the Third Proportional to 120,082.50 and 185,955.75

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Solution

The third proportional to 120,082.50 and 185,955.75 is: 287,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082.50 : 185,955.75 = 185,955.75 : x
  2. Step 2: Convert to fraction form
    120,082.50/185,955.75 = 185,955.75/x
  3. Step 3: Cross multiply
    120,082.50x = 185,955.75 × 185,955.75
  4. Step 4: Simplify right side
    120,082.50x = 34,579,540,958.06
  5. Step 5: Solve for x
    x = 34,579,540,958.06/120,082.50
  6. Step 6: Final answer
    x = 287,964.87

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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.