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Finding the Third Proportional to 65,816 and 96,255

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Solution

The third proportional to 65,816 and 96,255 is: 140,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816 : 96,255 = 96,255 : x
  2. Step 2: Convert to fraction form
    65,816/96,255 = 96,255/x
  3. Step 3: Cross multiply
    65,816x = 96,255 × 96,255
  4. Step 4: Simplify right side
    65,816x = 9,265,025,025
  5. Step 5: Solve for x
    x = 9,265,025,025/65,816
  6. Step 6: Final answer
    x = 140,771.62

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