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Finding the Third Proportional to 59,235.75 and 140,616

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Solution

The third proportional to 59,235.75 and 140,616 is: 333,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,235.75 : 140,616 = 140,616 : x
  2. Step 2: Convert to fraction form
    59,235.75/140,616 = 140,616/x
  3. Step 3: Cross multiply
    59,235.75x = 140,616 × 140,616
  4. Step 4: Simplify right side
    59,235.75x = 19,772,859,456
  5. Step 5: Solve for x
    x = 19,772,859,456/59,235.75
  6. Step 6: Final answer
    x = 333,799.43

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.