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Finding the Third Proportional to 36,175 and 74,110

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Solution

The third proportional to 36,175 and 74,110 is: 151,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,175 : 74,110 = 74,110 : x
  2. Step 2: Convert to fraction form
    36,175/74,110 = 74,110/x
  3. Step 3: Cross multiply
    36,175x = 74,110 × 74,110
  4. Step 4: Simplify right side
    36,175x = 5,492,292,100
  5. Step 5: Solve for x
    x = 5,492,292,100/36,175
  6. Step 6: Final answer
    x = 151,825.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.