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Finding the Third Proportional to 73,647 and 153,855

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Solution

The third proportional to 73,647 and 153,855 is: 321,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,647 : 153,855 = 153,855 : x
  2. Step 2: Convert to fraction form
    73,647/153,855 = 153,855/x
  3. Step 3: Cross multiply
    73,647x = 153,855 × 153,855
  4. Step 4: Simplify right side
    73,647x = 23,671,361,025
  5. Step 5: Solve for x
    x = 23,671,361,025/73,647
  6. Step 6: Final answer
    x = 321,416.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.