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Finding the Third Proportional to 64,856 and 139,396

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Solution

The third proportional to 64,856 and 139,396 is: 299,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856 : 139,396 = 139,396 : x
  2. Step 2: Convert to fraction form
    64,856/139,396 = 139,396/x
  3. Step 3: Cross multiply
    64,856x = 139,396 × 139,396
  4. Step 4: Simplify right side
    64,856x = 19,431,244,816
  5. Step 5: Solve for x
    x = 19,431,244,816/64,856
  6. Step 6: Final answer
    x = 299,605.97

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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.