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Finding the Third Proportional to 64,945 and 139,922

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Solution

The third proportional to 64,945 and 139,922 is: 301,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,945 : 139,922 = 139,922 : x
  2. Step 2: Convert to fraction form
    64,945/139,922 = 139,922/x
  3. Step 3: Cross multiply
    64,945x = 139,922 × 139,922
  4. Step 4: Simplify right side
    64,945x = 19,578,166,084
  5. Step 5: Solve for x
    x = 19,578,166,084/64,945
  6. Step 6: Final answer
    x = 301,457.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.