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Finding the Third Proportional to 65,792.75 and 96,023.75

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Solution

The third proportional to 65,792.75 and 96,023.75 is: 140,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.75 : 96,023.75 = 96,023.75 : x
  2. Step 2: Convert to fraction form
    65,792.75/96,023.75 = 96,023.75/x
  3. Step 3: Cross multiply
    65,792.75x = 96,023.75 × 96,023.75
  4. Step 4: Simplify right side
    65,792.75x = 9,220,560,564.06
  5. Step 5: Solve for x
    x = 9,220,560,564.06/65,792.75
  6. Step 6: Final answer
    x = 140,145.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.