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Finding the Third Proportional to 57,906 and 91,766

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Solution

The third proportional to 57,906 and 91,766 is: 145,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906 : 91,766 = 91,766 : x
  2. Step 2: Convert to fraction form
    57,906/91,766 = 91,766/x
  3. Step 3: Cross multiply
    57,906x = 91,766 × 91,766
  4. Step 4: Simplify right side
    57,906x = 8,420,998,756
  5. Step 5: Solve for x
    x = 8,420,998,756/57,906
  6. Step 6: Final answer
    x = 145,425.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.