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Finding the Third Proportional to 122,283 and 188,183.25

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Solution

The third proportional to 122,283 and 188,183.25 is: 289,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,283 : 188,183.25 = 188,183.25 : x
  2. Step 2: Convert to fraction form
    122,283/188,183.25 = 188,183.25/x
  3. Step 3: Cross multiply
    122,283x = 188,183.25 × 188,183.25
  4. Step 4: Simplify right side
    122,283x = 35,412,935,580.56
  5. Step 5: Solve for x
    x = 35,412,935,580.56/122,283
  6. Step 6: Final answer
    x = 289,598.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.