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Finding the Third Proportional to 58,317 and 131,766

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Solution

The third proportional to 58,317 and 131,766 is: 297,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,317 : 131,766 = 131,766 : x
  2. Step 2: Convert to fraction form
    58,317/131,766 = 131,766/x
  3. Step 3: Cross multiply
    58,317x = 131,766 × 131,766
  4. Step 4: Simplify right side
    58,317x = 17,362,278,756
  5. Step 5: Solve for x
    x = 17,362,278,756/58,317
  6. Step 6: Final answer
    x = 297,722.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.