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Finding the Third Proportional to 94,114 and 149,811

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Solution

The third proportional to 94,114 and 149,811 is: 238,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,114 : 149,811 = 149,811 : x
  2. Step 2: Convert to fraction form
    94,114/149,811 = 149,811/x
  3. Step 3: Cross multiply
    94,114x = 149,811 × 149,811
  4. Step 4: Simplify right side
    94,114x = 22,443,335,721
  5. Step 5: Solve for x
    x = 22,443,335,721/94,114
  6. Step 6: Final answer
    x = 238,469.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.