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Finding the Third Proportional to 74,867 and 164,089

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Solution

The third proportional to 74,867 and 164,089 is: 359,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,867 : 164,089 = 164,089 : x
  2. Step 2: Convert to fraction form
    74,867/164,089 = 164,089/x
  3. Step 3: Cross multiply
    74,867x = 164,089 × 164,089
  4. Step 4: Simplify right side
    74,867x = 26,925,199,921
  5. Step 5: Solve for x
    x = 26,925,199,921/74,867
  6. Step 6: Final answer
    x = 359,640.43

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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.