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Finding the Third Proportional to 61,260.38 and 131,907

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Solution

The third proportional to 61,260.38 and 131,907 is: 284,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,260.38 : 131,907 = 131,907 : x
  2. Step 2: Convert to fraction form
    61,260.38/131,907 = 131,907/x
  3. Step 3: Cross multiply
    61,260.38x = 131,907 × 131,907
  4. Step 4: Simplify right side
    61,260.38x = 17,399,456,649
  5. Step 5: Solve for x
    x = 17,399,456,649/61,260.38
  6. Step 6: Final answer
    x = 284,024.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.