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Finding the Third Proportional to 64,146 and 139,938

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Solution

The third proportional to 64,146 and 139,938 is: 305,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,146 : 139,938 = 139,938 : x
  2. Step 2: Convert to fraction form
    64,146/139,938 = 139,938/x
  3. Step 3: Cross multiply
    64,146x = 139,938 × 139,938
  4. Step 4: Simplify right side
    64,146x = 19,582,643,844
  5. Step 5: Solve for x
    x = 19,582,643,844/64,146
  6. Step 6: Final answer
    x = 305,282.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.