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Finding the Third Proportional to 119,032 and 184,460

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Solution

The third proportional to 119,032 and 184,460 is: 285,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032 : 184,460 = 184,460 : x
  2. Step 2: Convert to fraction form
    119,032/184,460 = 184,460/x
  3. Step 3: Cross multiply
    119,032x = 184,460 × 184,460
  4. Step 4: Simplify right side
    119,032x = 34,025,491,600
  5. Step 5: Solve for x
    x = 34,025,491,600/119,032
  6. Step 6: Final answer
    x = 285,851.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.