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Finding the Third Proportional to 104,091.75 and 155,853

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Solution

The third proportional to 104,091.75 and 155,853 is: 233,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091.75 : 155,853 = 155,853 : x
  2. Step 2: Convert to fraction form
    104,091.75/155,853 = 155,853/x
  3. Step 3: Cross multiply
    104,091.75x = 155,853 × 155,853
  4. Step 4: Simplify right side
    104,091.75x = 24,290,157,609
  5. Step 5: Solve for x
    x = 24,290,157,609/104,091.75
  6. Step 6: Final answer
    x = 233,353.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.