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Finding the Third Proportional to 120,694 and 182,985

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Solution

The third proportional to 120,694 and 182,985 is: 277,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694 : 182,985 = 182,985 : x
  2. Step 2: Convert to fraction form
    120,694/182,985 = 182,985/x
  3. Step 3: Cross multiply
    120,694x = 182,985 × 182,985
  4. Step 4: Simplify right side
    120,694x = 33,483,510,225
  5. Step 5: Solve for x
    x = 33,483,510,225/120,694
  6. Step 6: Final answer
    x = 277,424.81

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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.