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Finding the Third Proportional to 68,562 and 105,954

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Solution

The third proportional to 68,562 and 105,954 is: 163,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,562 : 105,954 = 105,954 : x
  2. Step 2: Convert to fraction form
    68,562/105,954 = 105,954/x
  3. Step 3: Cross multiply
    68,562x = 105,954 × 105,954
  4. Step 4: Simplify right side
    68,562x = 11,226,250,116
  5. Step 5: Solve for x
    x = 11,226,250,116/68,562
  6. Step 6: Final answer
    x = 163,738.66

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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.