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Finding the Third Proportional to 65,762 and 96,181

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Solution

The third proportional to 65,762 and 96,181 is: 140,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762 : 96,181 = 96,181 : x
  2. Step 2: Convert to fraction form
    65,762/96,181 = 96,181/x
  3. Step 3: Cross multiply
    65,762x = 96,181 × 96,181
  4. Step 4: Simplify right side
    65,762x = 9,250,784,761
  5. Step 5: Solve for x
    x = 9,250,784,761/65,762
  6. Step 6: Final answer
    x = 140,670.67

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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.