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Finding the Third Proportional to 120,851 and 182,009

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Solution

The third proportional to 120,851 and 182,009 is: 274,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851 : 182,009 = 182,009 : x
  2. Step 2: Convert to fraction form
    120,851/182,009 = 182,009/x
  3. Step 3: Cross multiply
    120,851x = 182,009 × 182,009
  4. Step 4: Simplify right side
    120,851x = 33,127,276,081
  5. Step 5: Solve for x
    x = 33,127,276,081/120,851
  6. Step 6: Final answer
    x = 274,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.