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Finding the Third Proportional to 74,024 and 162,105

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Solution

The third proportional to 74,024 and 162,105 is: 354,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024 : 162,105 = 162,105 : x
  2. Step 2: Convert to fraction form
    74,024/162,105 = 162,105/x
  3. Step 3: Cross multiply
    74,024x = 162,105 × 162,105
  4. Step 4: Simplify right side
    74,024x = 26,278,031,025
  5. Step 5: Solve for x
    x = 26,278,031,025/74,024
  6. Step 6: Final answer
    x = 354,993.39

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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.