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Finding the Third Proportional to 64,175 and 139,042

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Solution

The third proportional to 64,175 and 139,042 is: 301,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175 : 139,042 = 139,042 : x
  2. Step 2: Convert to fraction form
    64,175/139,042 = 139,042/x
  3. Step 3: Cross multiply
    64,175x = 139,042 × 139,042
  4. Step 4: Simplify right side
    64,175x = 19,332,677,764
  5. Step 5: Solve for x
    x = 19,332,677,764/64,175
  6. Step 6: Final answer
    x = 301,249.36

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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.