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Finding the Third Proportional to 64,442 and 139,956

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Solution

The third proportional to 64,442 and 139,956 is: 303,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,442 : 139,956 = 139,956 : x
  2. Step 2: Convert to fraction form
    64,442/139,956 = 139,956/x
  3. Step 3: Cross multiply
    64,442x = 139,956 × 139,956
  4. Step 4: Simplify right side
    64,442x = 19,587,681,936
  5. Step 5: Solve for x
    x = 19,587,681,936/64,442
  6. Step 6: Final answer
    x = 303,958.32

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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.