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Finding the Third Proportional to 74,079.56 and 164,175.19

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Solution

The third proportional to 74,079.56 and 164,175.19 is: 363,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,079.56 : 164,175.19 = 164,175.19 : x
  2. Step 2: Convert to fraction form
    74,079.56/164,175.19 = 164,175.19/x
  3. Step 3: Cross multiply
    74,079.56x = 164,175.19 × 164,175.19
  4. Step 4: Simplify right side
    74,079.56x = 26,953,492,190.66
  5. Step 5: Solve for x
    x = 26,953,492,190.66/74,079.56
  6. Step 6: Final answer
    x = 363,845.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.