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Finding the Third Proportional to 64,387 and 139,493

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Solution

The third proportional to 64,387 and 139,493 is: 302,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,387 : 139,493 = 139,493 : x
  2. Step 2: Convert to fraction form
    64,387/139,493 = 139,493/x
  3. Step 3: Cross multiply
    64,387x = 139,493 × 139,493
  4. Step 4: Simplify right side
    64,387x = 19,458,297,049
  5. Step 5: Solve for x
    x = 19,458,297,049/64,387
  6. Step 6: Final answer
    x = 302,208.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.