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Finding the Third Proportional to 94,014 and 135,834

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Solution

The third proportional to 94,014 and 135,834 is: 196,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,014 : 135,834 = 135,834 : x
  2. Step 2: Convert to fraction form
    94,014/135,834 = 135,834/x
  3. Step 3: Cross multiply
    94,014x = 135,834 × 135,834
  4. Step 4: Simplify right side
    94,014x = 18,450,875,556
  5. Step 5: Solve for x
    x = 18,450,875,556/94,014
  6. Step 6: Final answer
    x = 196,256.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.