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Finding the Third Proportional to 64,896 and 140,808

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Solution

The third proportional to 64,896 and 140,808 is: 305,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896 : 140,808 = 140,808 : x
  2. Step 2: Convert to fraction form
    64,896/140,808 = 140,808/x
  3. Step 3: Cross multiply
    64,896x = 140,808 × 140,808
  4. Step 4: Simplify right side
    64,896x = 19,826,892,864
  5. Step 5: Solve for x
    x = 19,826,892,864/64,896
  6. Step 6: Final answer
    x = 305,517.95

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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.