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Finding the Third Proportional to 75,064 and 164,992

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Solution

The third proportional to 75,064 and 164,992 is: 362,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,064 : 164,992 = 164,992 : x
  2. Step 2: Convert to fraction form
    75,064/164,992 = 164,992/x
  3. Step 3: Cross multiply
    75,064x = 164,992 × 164,992
  4. Step 4: Simplify right side
    75,064x = 27,222,360,064
  5. Step 5: Solve for x
    x = 27,222,360,064/75,064
  6. Step 6: Final answer
    x = 362,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.