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Finding the Third Proportional to 64,899 and 140,814

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Solution

The third proportional to 64,899 and 140,814 is: 305,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,899 : 140,814 = 140,814 : x
  2. Step 2: Convert to fraction form
    64,899/140,814 = 140,814/x
  3. Step 3: Cross multiply
    64,899x = 140,814 × 140,814
  4. Step 4: Simplify right side
    64,899x = 19,828,582,596
  5. Step 5: Solve for x
    x = 19,828,582,596/64,899
  6. Step 6: Final answer
    x = 305,529.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.