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Finding the Third Proportional to 112,029.75 and 177,477.75

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Solution

The third proportional to 112,029.75 and 177,477.75 is: 281,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,029.75 : 177,477.75 = 177,477.75 : x
  2. Step 2: Convert to fraction form
    112,029.75/177,477.75 = 177,477.75/x
  3. Step 3: Cross multiply
    112,029.75x = 177,477.75 × 177,477.75
  4. Step 4: Simplify right side
    112,029.75x = 31,498,351,745.06
  5. Step 5: Solve for x
    x = 31,498,351,745.06/112,029.75
  6. Step 6: Final answer
    x = 281,160.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.