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Finding the Third Proportional to 59,351 and 140,104

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Solution

The third proportional to 59,351 and 140,104 is: 330,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,351 : 140,104 = 140,104 : x
  2. Step 2: Convert to fraction form
    59,351/140,104 = 140,104/x
  3. Step 3: Cross multiply
    59,351x = 140,104 × 140,104
  4. Step 4: Simplify right side
    59,351x = 19,629,130,816
  5. Step 5: Solve for x
    x = 19,629,130,816/59,351
  6. Step 6: Final answer
    x = 330,729.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.