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Finding the Third Proportional to 94,134.75 and 203,565

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Solution

The third proportional to 94,134.75 and 203,565 is: 440,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,134.75 : 203,565 = 203,565 : x
  2. Step 2: Convert to fraction form
    94,134.75/203,565 = 203,565/x
  3. Step 3: Cross multiply
    94,134.75x = 203,565 × 203,565
  4. Step 4: Simplify right side
    94,134.75x = 41,438,709,225
  5. Step 5: Solve for x
    x = 41,438,709,225/94,134.75
  6. Step 6: Final answer
    x = 440,206.29

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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.