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Finding the Third Proportional to 75,844 and 164,926

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Solution

The third proportional to 75,844 and 164,926 is: 358,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,844 : 164,926 = 164,926 : x
  2. Step 2: Convert to fraction form
    75,844/164,926 = 164,926/x
  3. Step 3: Cross multiply
    75,844x = 164,926 × 164,926
  4. Step 4: Simplify right side
    75,844x = 27,200,585,476
  5. Step 5: Solve for x
    x = 27,200,585,476/75,844
  6. Step 6: Final answer
    x = 358,638.59

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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.