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Finding the Third Proportional to 64,296 and 139,602

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Solution

The third proportional to 64,296 and 139,602 is: 303,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,296 : 139,602 = 139,602 : x
  2. Step 2: Convert to fraction form
    64,296/139,602 = 139,602/x
  3. Step 3: Cross multiply
    64,296x = 139,602 × 139,602
  4. Step 4: Simplify right side
    64,296x = 19,488,718,404
  5. Step 5: Solve for x
    x = 19,488,718,404/64,296
  6. Step 6: Final answer
    x = 303,109.34

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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.