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Finding the Third Proportional to 64,596 and 139,086

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Solution

The third proportional to 64,596 and 139,086 is: 299,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596 : 139,086 = 139,086 : x
  2. Step 2: Convert to fraction form
    64,596/139,086 = 139,086/x
  3. Step 3: Cross multiply
    64,596x = 139,086 × 139,086
  4. Step 4: Simplify right side
    64,596x = 19,344,915,396
  5. Step 5: Solve for x
    x = 19,344,915,396/64,596
  6. Step 6: Final answer
    x = 299,475.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.