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Finding the Third Proportional to 94,082.50 and 202,937.50

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Solution

The third proportional to 94,082.50 and 202,937.50 is: 437,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,082.50 : 202,937.50 = 202,937.50 : x
  2. Step 2: Convert to fraction form
    94,082.50/202,937.50 = 202,937.50/x
  3. Step 3: Cross multiply
    94,082.50x = 202,937.50 × 202,937.50
  4. Step 4: Simplify right side
    94,082.50x = 41,183,628,906.25
  5. Step 5: Solve for x
    x = 41,183,628,906.25/94,082.50
  6. Step 6: Final answer
    x = 437,739.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.