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Finding the Third Proportional to 110,009 and 170,065

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Solution

The third proportional to 110,009 and 170,065 is: 262,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009 : 170,065 = 170,065 : x
  2. Step 2: Convert to fraction form
    110,009/170,065 = 170,065/x
  3. Step 3: Cross multiply
    110,009x = 170,065 × 170,065
  4. Step 4: Simplify right side
    110,009x = 28,922,104,225
  5. Step 5: Solve for x
    x = 28,922,104,225/110,009
  6. Step 6: Final answer
    x = 262,906.71

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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.