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Finding the Third Proportional to 118,937 and 184,039

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Solution

The third proportional to 118,937 and 184,039 is: 284,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,937 : 184,039 = 184,039 : x
  2. Step 2: Convert to fraction form
    118,937/184,039 = 184,039/x
  3. Step 3: Cross multiply
    118,937x = 184,039 × 184,039
  4. Step 4: Simplify right side
    118,937x = 33,870,353,521
  5. Step 5: Solve for x
    x = 33,870,353,521/118,937
  6. Step 6: Final answer
    x = 284,775.58

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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.