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Finding the Third Proportional to 111,621 and 170,052

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Solution

The third proportional to 111,621 and 170,052 is: 259,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,621 : 170,052 = 170,052 : x
  2. Step 2: Convert to fraction form
    111,621/170,052 = 170,052/x
  3. Step 3: Cross multiply
    111,621x = 170,052 × 170,052
  4. Step 4: Simplify right side
    111,621x = 28,917,682,704
  5. Step 5: Solve for x
    x = 28,917,682,704/111,621
  6. Step 6: Final answer
    x = 259,070.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.