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Finding the Third Proportional to 86,962 and 130,635

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Solution

The third proportional to 86,962 and 130,635 is: 196,240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,962 : 130,635 = 130,635 : x
  2. Step 2: Convert to fraction form
    86,962/130,635 = 130,635/x
  3. Step 3: Cross multiply
    86,962x = 130,635 × 130,635
  4. Step 4: Simplify right side
    86,962x = 17,065,503,225
  5. Step 5: Solve for x
    x = 17,065,503,225/86,962
  6. Step 6: Final answer
    x = 196,240.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.