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Finding the Third Proportional to 74,907 and 160,881

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Solution

The third proportional to 74,907 and 160,881 is: 345,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,907 : 160,881 = 160,881 : x
  2. Step 2: Convert to fraction form
    74,907/160,881 = 160,881/x
  3. Step 3: Cross multiply
    74,907x = 160,881 × 160,881
  4. Step 4: Simplify right side
    74,907x = 25,882,696,161
  5. Step 5: Solve for x
    x = 25,882,696,161/74,907
  6. Step 6: Final answer
    x = 345,531.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.