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Finding the Third Proportional to 110,608 and 170,106

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Solution

The third proportional to 110,608 and 170,106 is: 261,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,608 : 170,106 = 170,106 : x
  2. Step 2: Convert to fraction form
    110,608/170,106 = 170,106/x
  3. Step 3: Cross multiply
    110,608x = 170,106 × 170,106
  4. Step 4: Simplify right side
    110,608x = 28,936,051,236
  5. Step 5: Solve for x
    x = 28,936,051,236/110,608
  6. Step 6: Final answer
    x = 261,609.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.