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Finding the Third Proportional to 51,667.50 and 105,518.25

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Solution

The third proportional to 51,667.50 and 105,518.25 is: 215,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,667.50 : 105,518.25 = 105,518.25 : x
  2. Step 2: Convert to fraction form
    51,667.50/105,518.25 = 105,518.25/x
  3. Step 3: Cross multiply
    51,667.50x = 105,518.25 × 105,518.25
  4. Step 4: Simplify right side
    51,667.50x = 11,134,101,083.06
  5. Step 5: Solve for x
    x = 11,134,101,083.06/51,667.50
  6. Step 6: Final answer
    x = 215,495.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.