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Finding the Third Proportional to 75,219 and 164,925

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Solution

The third proportional to 75,219 and 164,925 is: 361,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219 : 164,925 = 164,925 : x
  2. Step 2: Convert to fraction form
    75,219/164,925 = 164,925/x
  3. Step 3: Cross multiply
    75,219x = 164,925 × 164,925
  4. Step 4: Simplify right side
    75,219x = 27,200,255,625
  5. Step 5: Solve for x
    x = 27,200,255,625/75,219
  6. Step 6: Final answer
    x = 361,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.