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Finding the Third Proportional to 65,761 and 103,049

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Solution

The third proportional to 65,761 and 103,049 is: 161,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761 : 103,049 = 103,049 : x
  2. Step 2: Convert to fraction form
    65,761/103,049 = 103,049/x
  3. Step 3: Cross multiply
    65,761x = 103,049 × 103,049
  4. Step 4: Simplify right side
    65,761x = 10,619,096,401
  5. Step 5: Solve for x
    x = 10,619,096,401/65,761
  6. Step 6: Final answer
    x = 161,480.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.