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Finding the Third Proportional to 65,761 and 97,626

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Solution

The third proportional to 65,761 and 97,626 is: 144,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761 : 97,626 = 97,626 : x
  2. Step 2: Convert to fraction form
    65,761/97,626 = 97,626/x
  3. Step 3: Cross multiply
    65,761x = 97,626 × 97,626
  4. Step 4: Simplify right side
    65,761x = 9,530,835,876
  5. Step 5: Solve for x
    x = 9,530,835,876/65,761
  6. Step 6: Final answer
    x = 144,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.