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Finding the Third Proportional to 65,662 and 96,162

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Solution

The third proportional to 65,662 and 96,162 is: 140,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,662 : 96,162 = 96,162 : x
  2. Step 2: Convert to fraction form
    65,662/96,162 = 96,162/x
  3. Step 3: Cross multiply
    65,662x = 96,162 × 96,162
  4. Step 4: Simplify right side
    65,662x = 9,247,130,244
  5. Step 5: Solve for x
    x = 9,247,130,244/65,662
  6. Step 6: Final answer
    x = 140,829.25

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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.