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Finding the Third Proportional to 73,684 and 159,140

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Solution

The third proportional to 73,684 and 159,140 is: 343,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684 : 159,140 = 159,140 : x
  2. Step 2: Convert to fraction form
    73,684/159,140 = 159,140/x
  3. Step 3: Cross multiply
    73,684x = 159,140 × 159,140
  4. Step 4: Simplify right side
    73,684x = 25,325,539,600
  5. Step 5: Solve for x
    x = 25,325,539,600/73,684
  6. Step 6: Final answer
    x = 343,704.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.