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Finding the Third Proportional to 64,967 and 140,296

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Solution

The third proportional to 64,967 and 140,296 is: 302,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967 : 140,296 = 140,296 : x
  2. Step 2: Convert to fraction form
    64,967/140,296 = 140,296/x
  3. Step 3: Cross multiply
    64,967x = 140,296 × 140,296
  4. Step 4: Simplify right side
    64,967x = 19,682,967,616
  5. Step 5: Solve for x
    x = 19,682,967,616/64,967
  6. Step 6: Final answer
    x = 302,968.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.