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Finding the Third Proportional to 64,687 and 140,764

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Solution

The third proportional to 64,687 and 140,764 is: 306,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,687 : 140,764 = 140,764 : x
  2. Step 2: Convert to fraction form
    64,687/140,764 = 140,764/x
  3. Step 3: Cross multiply
    64,687x = 140,764 × 140,764
  4. Step 4: Simplify right side
    64,687x = 19,814,503,696
  5. Step 5: Solve for x
    x = 19,814,503,696/64,687
  6. Step 6: Final answer
    x = 306,313.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.