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Finding the Third Proportional to 74,211 and 175,005

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Solution

The third proportional to 74,211 and 175,005 is: 412,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211 : 175,005 = 175,005 : x
  2. Step 2: Convert to fraction form
    74,211/175,005 = 175,005/x
  3. Step 3: Cross multiply
    74,211x = 175,005 × 175,005
  4. Step 4: Simplify right side
    74,211x = 30,626,750,025
  5. Step 5: Solve for x
    x = 30,626,750,025/74,211
  6. Step 6: Final answer
    x = 412,698.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.