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Finding the Third Proportional to 120,869 and 262,501

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Solution

The third proportional to 120,869 and 262,501 is: 570,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,869 : 262,501 = 262,501 : x
  2. Step 2: Convert to fraction form
    120,869/262,501 = 262,501/x
  3. Step 3: Cross multiply
    120,869x = 262,501 × 262,501
  4. Step 4: Simplify right side
    120,869x = 68,906,775,001
  5. Step 5: Solve for x
    x = 68,906,775,001/120,869
  6. Step 6: Final answer
    x = 570,094.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.