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Finding the Third Proportional to 43,135 and 91,858

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Solution

The third proportional to 43,135 and 91,858 is: 195,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,135 : 91,858 = 91,858 : x
  2. Step 2: Convert to fraction form
    43,135/91,858 = 91,858/x
  3. Step 3: Cross multiply
    43,135x = 91,858 × 91,858
  4. Step 4: Simplify right side
    43,135x = 8,437,892,164
  5. Step 5: Solve for x
    x = 8,437,892,164/43,135
  6. Step 6: Final answer
    x = 195,615.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.