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Finding the Third Proportional to 102,954 and 160,443

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Solution

The third proportional to 102,954 and 160,443 is: 250,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,954 : 160,443 = 160,443 : x
  2. Step 2: Convert to fraction form
    102,954/160,443 = 160,443/x
  3. Step 3: Cross multiply
    102,954x = 160,443 × 160,443
  4. Step 4: Simplify right side
    102,954x = 25,741,956,249
  5. Step 5: Solve for x
    x = 25,741,956,249/102,954
  6. Step 6: Final answer
    x = 250,033.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.