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Finding the Third Proportional to 42,769.50 and 103,035.75

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Solution

The third proportional to 42,769.50 and 103,035.75 is: 248,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,769.50 : 103,035.75 = 103,035.75 : x
  2. Step 2: Convert to fraction form
    42,769.50/103,035.75 = 103,035.75/x
  3. Step 3: Cross multiply
    42,769.50x = 103,035.75 × 103,035.75
  4. Step 4: Simplify right side
    42,769.50x = 10,616,365,778.06
  5. Step 5: Solve for x
    x = 10,616,365,778.06/42,769.50
  6. Step 6: Final answer
    x = 248,222.82

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.