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Finding the Third Proportional to 42,772.50 and 103,043.25

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Solution

The third proportional to 42,772.50 and 103,043.25 is: 248,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.50 : 103,043.25 = 103,043.25 : x
  2. Step 2: Convert to fraction form
    42,772.50/103,043.25 = 103,043.25/x
  3. Step 3: Cross multiply
    42,772.50x = 103,043.25 × 103,043.25
  4. Step 4: Simplify right side
    42,772.50x = 10,617,911,370.56
  5. Step 5: Solve for x
    x = 10,617,911,370.56/42,772.50
  6. Step 6: Final answer
    x = 248,241.54

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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.