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Finding the Third Proportional to 104,564 and 166,191

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Solution

The third proportional to 104,564 and 166,191 is: 264,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564 : 166,191 = 166,191 : x
  2. Step 2: Convert to fraction form
    104,564/166,191 = 166,191/x
  3. Step 3: Cross multiply
    104,564x = 166,191 × 166,191
  4. Step 4: Simplify right side
    104,564x = 27,619,448,481
  5. Step 5: Solve for x
    x = 27,619,448,481/104,564
  6. Step 6: Final answer
    x = 264,139.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.