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Finding the Third Proportional to 113,016.75 and 170,671.50

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Solution

The third proportional to 113,016.75 and 170,671.50 is: 257,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,016.75 : 170,671.50 = 170,671.50 : x
  2. Step 2: Convert to fraction form
    113,016.75/170,671.50 = 170,671.50/x
  3. Step 3: Cross multiply
    113,016.75x = 170,671.50 × 170,671.50
  4. Step 4: Simplify right side
    113,016.75x = 29,128,760,912.25
  5. Step 5: Solve for x
    x = 29,128,760,912.25/113,016.75
  6. Step 6: Final answer
    x = 257,738.44

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