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Finding the Third Proportional to 65,236 and 139,948

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Solution

The third proportional to 65,236 and 139,948 is: 300,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236 : 139,948 = 139,948 : x
  2. Step 2: Convert to fraction form
    65,236/139,948 = 139,948/x
  3. Step 3: Cross multiply
    65,236x = 139,948 × 139,948
  4. Step 4: Simplify right side
    65,236x = 19,585,442,704
  5. Step 5: Solve for x
    x = 19,585,442,704/65,236
  6. Step 6: Final answer
    x = 300,224.46

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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.