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Finding the Third Proportional to 120,738 and 183,114

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Solution

The third proportional to 120,738 and 183,114 is: 277,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738 : 183,114 = 183,114 : x
  2. Step 2: Convert to fraction form
    120,738/183,114 = 183,114/x
  3. Step 3: Cross multiply
    120,738x = 183,114 × 183,114
  4. Step 4: Simplify right side
    120,738x = 33,530,736,996
  5. Step 5: Solve for x
    x = 33,530,736,996/120,738
  6. Step 6: Final answer
    x = 277,714.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.