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Finding the Third Proportional to 75,079 and 163,225

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Solution

The third proportional to 75,079 and 163,225 is: 354,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,079 : 163,225 = 163,225 : x
  2. Step 2: Convert to fraction form
    75,079/163,225 = 163,225/x
  3. Step 3: Cross multiply
    75,079x = 163,225 × 163,225
  4. Step 4: Simplify right side
    75,079x = 26,642,400,625
  5. Step 5: Solve for x
    x = 26,642,400,625/75,079
  6. Step 6: Final answer
    x = 354,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.