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Finding the Third Proportional to 74,943 and 164,610

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Solution

The third proportional to 74,943 and 164,610 is: 361,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,943 : 164,610 = 164,610 : x
  2. Step 2: Convert to fraction form
    74,943/164,610 = 164,610/x
  3. Step 3: Cross multiply
    74,943x = 164,610 × 164,610
  4. Step 4: Simplify right side
    74,943x = 27,096,452,100
  5. Step 5: Solve for x
    x = 27,096,452,100/74,943
  6. Step 6: Final answer
    x = 361,560.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.