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Finding the Third Proportional to 112,554 and 171,690

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Solution

The third proportional to 112,554 and 171,690 is: 261,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,554 : 171,690 = 171,690 : x
  2. Step 2: Convert to fraction form
    112,554/171,690 = 171,690/x
  3. Step 3: Cross multiply
    112,554x = 171,690 × 171,690
  4. Step 4: Simplify right side
    112,554x = 29,477,456,100
  5. Step 5: Solve for x
    x = 29,477,456,100/112,554
  6. Step 6: Final answer
    x = 261,896.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.