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Finding the Third Proportional to 79,432 and 122,880

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Solution

The third proportional to 79,432 and 122,880 is: 190,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,432 : 122,880 = 122,880 : x
  2. Step 2: Convert to fraction form
    79,432/122,880 = 122,880/x
  3. Step 3: Cross multiply
    79,432x = 122,880 × 122,880
  4. Step 4: Simplify right side
    79,432x = 15,099,494,400
  5. Step 5: Solve for x
    x = 15,099,494,400/79,432
  6. Step 6: Final answer
    x = 190,093.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.