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Finding the Third Proportional to 104,209.75 and 161,462.75

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Solution

The third proportional to 104,209.75 and 161,462.75 is: 250,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,209.75 : 161,462.75 = 161,462.75 : x
  2. Step 2: Convert to fraction form
    104,209.75/161,462.75 = 161,462.75/x
  3. Step 3: Cross multiply
    104,209.75x = 161,462.75 × 161,462.75
  4. Step 4: Simplify right side
    104,209.75x = 26,070,219,637.56
  5. Step 5: Solve for x
    x = 26,070,219,637.56/104,209.75
  6. Step 6: Final answer
    x = 250,170.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.