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Finding the Third Proportional to 94,029 and 195,834

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Solution

The third proportional to 94,029 and 195,834 is: 407,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,029 : 195,834 = 195,834 : x
  2. Step 2: Convert to fraction form
    94,029/195,834 = 195,834/x
  3. Step 3: Cross multiply
    94,029x = 195,834 × 195,834
  4. Step 4: Simplify right side
    94,029x = 38,350,955,556
  5. Step 5: Solve for x
    x = 38,350,955,556/94,029
  6. Step 6: Final answer
    x = 407,863.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.