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Finding the Third Proportional to 59,035 and 127,399

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Solution

The third proportional to 59,035 and 127,399 is: 274,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,035 : 127,399 = 127,399 : x
  2. Step 2: Convert to fraction form
    59,035/127,399 = 127,399/x
  3. Step 3: Cross multiply
    59,035x = 127,399 × 127,399
  4. Step 4: Simplify right side
    59,035x = 16,230,505,201
  5. Step 5: Solve for x
    x = 16,230,505,201/59,035
  6. Step 6: Final answer
    x = 274,930.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.