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Finding the Third Proportional to 104,052 and 223,895

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Solution

The third proportional to 104,052 and 223,895 is: 481,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,052 : 223,895 = 223,895 : x
  2. Step 2: Convert to fraction form
    104,052/223,895 = 223,895/x
  3. Step 3: Cross multiply
    104,052x = 223,895 × 223,895
  4. Step 4: Simplify right side
    104,052x = 50,128,971,025
  5. Step 5: Solve for x
    x = 50,128,971,025/104,052
  6. Step 6: Final answer
    x = 481,768.45

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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.