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Finding the Third Proportional to 75,085 and 164,936

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Solution

The third proportional to 75,085 and 164,936 is: 362,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,085 : 164,936 = 164,936 : x
  2. Step 2: Convert to fraction form
    75,085/164,936 = 164,936/x
  3. Step 3: Cross multiply
    75,085x = 164,936 × 164,936
  4. Step 4: Simplify right side
    75,085x = 27,203,884,096
  5. Step 5: Solve for x
    x = 27,203,884,096/75,085
  6. Step 6: Final answer
    x = 362,307.84

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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.