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Finding the Third Proportional to 94,024 and 135,858

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Solution

The third proportional to 94,024 and 135,858 is: 196,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,024 : 135,858 = 135,858 : x
  2. Step 2: Convert to fraction form
    94,024/135,858 = 135,858/x
  3. Step 3: Cross multiply
    94,024x = 135,858 × 135,858
  4. Step 4: Simplify right side
    94,024x = 18,457,396,164
  5. Step 5: Solve for x
    x = 18,457,396,164/94,024
  6. Step 6: Final answer
    x = 196,305.16

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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.