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Finding the Third Proportional to 122,503 and 183,755

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Solution

The third proportional to 122,503 and 183,755 is: 275,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,503 : 183,755 = 183,755 : x
  2. Step 2: Convert to fraction form
    122,503/183,755 = 183,755/x
  3. Step 3: Cross multiply
    122,503x = 183,755 × 183,755
  4. Step 4: Simplify right side
    122,503x = 33,765,900,025
  5. Step 5: Solve for x
    x = 33,765,900,025/122,503
  6. Step 6: Final answer
    x = 275,633.25

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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.