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Finding the Third Proportional to 104,198 and 161,247

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Solution

The third proportional to 104,198 and 161,247 is: 249,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,198 : 161,247 = 161,247 : x
  2. Step 2: Convert to fraction form
    104,198/161,247 = 161,247/x
  3. Step 3: Cross multiply
    104,198x = 161,247 × 161,247
  4. Step 4: Simplify right side
    104,198x = 26,000,595,009
  5. Step 5: Solve for x
    x = 26,000,595,009/104,198
  6. Step 6: Final answer
    x = 249,530.65

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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.