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Finding the Third Proportional to 122,186 and 178,911

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Solution

The third proportional to 122,186 and 178,911 is: 261,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,186 : 178,911 = 178,911 : x
  2. Step 2: Convert to fraction form
    122,186/178,911 = 178,911/x
  3. Step 3: Cross multiply
    122,186x = 178,911 × 178,911
  4. Step 4: Simplify right side
    122,186x = 32,009,145,921
  5. Step 5: Solve for x
    x = 32,009,145,921/122,186
  6. Step 6: Final answer
    x = 261,970.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.