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Finding the Third Proportional to 64,811 and 139,018

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Solution

The third proportional to 64,811 and 139,018 is: 298,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811 : 139,018 = 139,018 : x
  2. Step 2: Convert to fraction form
    64,811/139,018 = 139,018/x
  3. Step 3: Cross multiply
    64,811x = 139,018 × 139,018
  4. Step 4: Simplify right side
    64,811x = 19,326,004,324
  5. Step 5: Solve for x
    x = 19,326,004,324/64,811
  6. Step 6: Final answer
    x = 298,190.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.