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Finding the Third Proportional to 86,064 and 190,176

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Solution

The third proportional to 86,064 and 190,176 is: 420,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,064 : 190,176 = 190,176 : x
  2. Step 2: Convert to fraction form
    86,064/190,176 = 190,176/x
  3. Step 3: Cross multiply
    86,064x = 190,176 × 190,176
  4. Step 4: Simplify right side
    86,064x = 36,166,910,976
  5. Step 5: Solve for x
    x = 36,166,910,976/86,064
  6. Step 6: Final answer
    x = 420,232.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.