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Finding the Third Proportional to 122,346 and 188,112

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Solution

The third proportional to 122,346 and 188,112 is: 289,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,346 : 188,112 = 188,112 : x
  2. Step 2: Convert to fraction form
    122,346/188,112 = 188,112/x
  3. Step 3: Cross multiply
    122,346x = 188,112 × 188,112
  4. Step 4: Simplify right side
    122,346x = 35,386,124,544
  5. Step 5: Solve for x
    x = 35,386,124,544/122,346
  6. Step 6: Final answer
    x = 289,229.93

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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.