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Finding the Third Proportional to 74,920 and 160,957

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Solution

The third proportional to 74,920 and 160,957 is: 345,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,920 : 160,957 = 160,957 : x
  2. Step 2: Convert to fraction form
    74,920/160,957 = 160,957/x
  3. Step 3: Cross multiply
    74,920x = 160,957 × 160,957
  4. Step 4: Simplify right side
    74,920x = 25,907,155,849
  5. Step 5: Solve for x
    x = 25,907,155,849/74,920
  6. Step 6: Final answer
    x = 345,797.60

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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.