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Finding the Third Proportional to 130,786 and 184,173

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Solution

The third proportional to 130,786 and 184,173 is: 259,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,786 : 184,173 = 184,173 : x
  2. Step 2: Convert to fraction form
    130,786/184,173 = 184,173/x
  3. Step 3: Cross multiply
    130,786x = 184,173 × 184,173
  4. Step 4: Simplify right side
    130,786x = 33,919,693,929
  5. Step 5: Solve for x
    x = 33,919,693,929/130,786
  6. Step 6: Final answer
    x = 259,352.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.