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Finding the Third Proportional to 104,055.75 and 223,893

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Solution

The third proportional to 104,055.75 and 223,893 is: 481,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,055.75 : 223,893 = 223,893 : x
  2. Step 2: Convert to fraction form
    104,055.75/223,893 = 223,893/x
  3. Step 3: Cross multiply
    104,055.75x = 223,893 × 223,893
  4. Step 4: Simplify right side
    104,055.75x = 50,128,075,449
  5. Step 5: Solve for x
    x = 50,128,075,449/104,055.75
  6. Step 6: Final answer
    x = 481,742.48

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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.