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Finding the Third Proportional to 64,221 and 139,404

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Solution

The third proportional to 64,221 and 139,404 is: 302,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,221 : 139,404 = 139,404 : x
  2. Step 2: Convert to fraction form
    64,221/139,404 = 139,404/x
  3. Step 3: Cross multiply
    64,221x = 139,404 × 139,404
  4. Step 4: Simplify right side
    64,221x = 19,433,475,216
  5. Step 5: Solve for x
    x = 19,433,475,216/64,221
  6. Step 6: Final answer
    x = 302,603.12

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