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Finding the Third Proportional to 64,832 and 139,600

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Solution

The third proportional to 64,832 and 139,600 is: 300,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 139,600 = 139,600 : x
  2. Step 2: Convert to fraction form
    64,832/139,600 = 139,600/x
  3. Step 3: Cross multiply
    64,832x = 139,600 × 139,600
  4. Step 4: Simplify right side
    64,832x = 19,488,160,000
  5. Step 5: Solve for x
    x = 19,488,160,000/64,832
  6. Step 6: Final answer
    x = 300,594.77

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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.