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Finding the Third Proportional to 104,212.50 and 161,467.50

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Solution

The third proportional to 104,212.50 and 161,467.50 is: 250,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,212.50 : 161,467.50 = 161,467.50 : x
  2. Step 2: Convert to fraction form
    104,212.50/161,467.50 = 161,467.50/x
  3. Step 3: Cross multiply
    104,212.50x = 161,467.50 × 161,467.50
  4. Step 4: Simplify right side
    104,212.50x = 26,071,753,556.25
  5. Step 5: Solve for x
    x = 26,071,753,556.25/104,212.50
  6. Step 6: Final answer
    x = 250,178.76

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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.