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Finding the Third Proportional to 45,039.50 and 104,269.25

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Solution

The third proportional to 45,039.50 and 104,269.25 is: 241,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,039.50 : 104,269.25 = 104,269.25 : x
  2. Step 2: Convert to fraction form
    45,039.50/104,269.25 = 104,269.25/x
  3. Step 3: Cross multiply
    45,039.50x = 104,269.25 × 104,269.25
  4. Step 4: Simplify right side
    45,039.50x = 10,872,076,495.56
  5. Step 5: Solve for x
    x = 10,872,076,495.56/45,039.50
  6. Step 6: Final answer
    x = 241,389.81

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.