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Finding the Third Proportional to 51,603.75 and 113,042.25

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Solution

The third proportional to 51,603.75 and 113,042.25 is: 247,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.75 : 113,042.25 = 113,042.25 : x
  2. Step 2: Convert to fraction form
    51,603.75/113,042.25 = 113,042.25/x
  3. Step 3: Cross multiply
    51,603.75x = 113,042.25 × 113,042.25
  4. Step 4: Simplify right side
    51,603.75x = 12,778,550,285.06
  5. Step 5: Solve for x
    x = 12,778,550,285.06/51,603.75
  6. Step 6: Final answer
    x = 247,628.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.