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Finding the Third Proportional to 64,550 and 139,296

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Solution

The third proportional to 64,550 and 139,296 is: 300,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,550 : 139,296 = 139,296 : x
  2. Step 2: Convert to fraction form
    64,550/139,296 = 139,296/x
  3. Step 3: Cross multiply
    64,550x = 139,296 × 139,296
  4. Step 4: Simplify right side
    64,550x = 19,403,375,616
  5. Step 5: Solve for x
    x = 19,403,375,616/64,550
  6. Step 6: Final answer
    x = 300,594.51

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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.