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Finding the Third Proportional to 65,966 and 134,236

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Solution

The third proportional to 65,966 and 134,236 is: 273,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,966 : 134,236 = 134,236 : x
  2. Step 2: Convert to fraction form
    65,966/134,236 = 134,236/x
  3. Step 3: Cross multiply
    65,966x = 134,236 × 134,236
  4. Step 4: Simplify right side
    65,966x = 18,019,303,696
  5. Step 5: Solve for x
    x = 18,019,303,696/65,966
  6. Step 6: Final answer
    x = 273,160.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.