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Finding the Third Proportional to 119,146 and 184,317

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Solution

The third proportional to 119,146 and 184,317 is: 285,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,146 : 184,317 = 184,317 : x
  2. Step 2: Convert to fraction form
    119,146/184,317 = 184,317/x
  3. Step 3: Cross multiply
    119,146x = 184,317 × 184,317
  4. Step 4: Simplify right side
    119,146x = 33,972,756,489
  5. Step 5: Solve for x
    x = 33,972,756,489/119,146
  6. Step 6: Final answer
    x = 285,135.52

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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.