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Finding the Third Proportional to 105,285 and 165,444

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Solution

The third proportional to 105,285 and 165,444 is: 259,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,285 : 165,444 = 165,444 : x
  2. Step 2: Convert to fraction form
    105,285/165,444 = 165,444/x
  3. Step 3: Cross multiply
    105,285x = 165,444 × 165,444
  4. Step 4: Simplify right side
    105,285x = 27,371,717,136
  5. Step 5: Solve for x
    x = 27,371,717,136/105,285
  6. Step 6: Final answer
    x = 259,977.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.