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Finding the Third Proportional to 59,200 and 130,063

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Solution

The third proportional to 59,200 and 130,063 is: 285,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,200 : 130,063 = 130,063 : x
  2. Step 2: Convert to fraction form
    59,200/130,063 = 130,063/x
  3. Step 3: Cross multiply
    59,200x = 130,063 × 130,063
  4. Step 4: Simplify right side
    59,200x = 16,916,383,969
  5. Step 5: Solve for x
    x = 16,916,383,969/59,200
  6. Step 6: Final answer
    x = 285,749.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.