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Finding the Third Proportional to 119,172 and 184,350

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Solution

The third proportional to 119,172 and 184,350 is: 285,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,172 : 184,350 = 184,350 : x
  2. Step 2: Convert to fraction form
    119,172/184,350 = 184,350/x
  3. Step 3: Cross multiply
    119,172x = 184,350 × 184,350
  4. Step 4: Simplify right side
    119,172x = 33,984,922,500
  5. Step 5: Solve for x
    x = 33,984,922,500/119,172
  6. Step 6: Final answer
    x = 285,175.40

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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.