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Finding the Third Proportional to 122,421 and 183,063

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Solution

The third proportional to 122,421 and 183,063 is: 273,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,421 : 183,063 = 183,063 : x
  2. Step 2: Convert to fraction form
    122,421/183,063 = 183,063/x
  3. Step 3: Cross multiply
    122,421x = 183,063 × 183,063
  4. Step 4: Simplify right side
    122,421x = 33,512,061,969
  5. Step 5: Solve for x
    x = 33,512,061,969/122,421
  6. Step 6: Final answer
    x = 273,744.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.