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Finding the Third Proportional to 88,064 and 192,176

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Solution

The third proportional to 88,064 and 192,176 is: 419,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,064 : 192,176 = 192,176 : x
  2. Step 2: Convert to fraction form
    88,064/192,176 = 192,176/x
  3. Step 3: Cross multiply
    88,064x = 192,176 × 192,176
  4. Step 4: Simplify right side
    88,064x = 36,931,614,976
  5. Step 5: Solve for x
    x = 36,931,614,976/88,064
  6. Step 6: Final answer
    x = 419,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.