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Finding the Third Proportional to 135,825.75 and 184,469.63

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Solution

The third proportional to 135,825.75 and 184,469.63 is: 250,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,825.75 : 184,469.63 = 184,469.63 : x
  2. Step 2: Convert to fraction form
    135,825.75/184,469.63 = 184,469.63/x
  3. Step 3: Cross multiply
    135,825.75x = 184,469.63 × 184,469.63
  4. Step 4: Simplify right side
    135,825.75x = 34,029,042,547.64
  5. Step 5: Solve for x
    x = 34,029,042,547.64/135,825.75
  6. Step 6: Final answer
    x = 250,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.