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Finding the Third Proportional to 94,012 and 205,174

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Solution

The third proportional to 94,012 and 205,174 is: 447,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,012 : 205,174 = 205,174 : x
  2. Step 2: Convert to fraction form
    94,012/205,174 = 205,174/x
  3. Step 3: Cross multiply
    94,012x = 205,174 × 205,174
  4. Step 4: Simplify right side
    94,012x = 42,096,370,276
  5. Step 5: Solve for x
    x = 42,096,370,276/94,012
  6. Step 6: Final answer
    x = 447,776.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.