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Finding the Third Proportional to 64,027 and 139,718

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Solution

The third proportional to 64,027 and 139,718 is: 304,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,027 : 139,718 = 139,718 : x
  2. Step 2: Convert to fraction form
    64,027/139,718 = 139,718/x
  3. Step 3: Cross multiply
    64,027x = 139,718 × 139,718
  4. Step 4: Simplify right side
    64,027x = 19,521,119,524
  5. Step 5: Solve for x
    x = 19,521,119,524/64,027
  6. Step 6: Final answer
    x = 304,888.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.