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Finding the Third Proportional to 105,954 and 160,011

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Solution

The third proportional to 105,954 and 160,011 is: 241,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954 : 160,011 = 160,011 : x
  2. Step 2: Convert to fraction form
    105,954/160,011 = 160,011/x
  3. Step 3: Cross multiply
    105,954x = 160,011 × 160,011
  4. Step 4: Simplify right side
    105,954x = 25,603,520,121
  5. Step 5: Solve for x
    x = 25,603,520,121/105,954
  6. Step 6: Final answer
    x = 241,647.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.