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Finding the Third Proportional to 82,887.75 and 180,956.25

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Solution

The third proportional to 82,887.75 and 180,956.25 is: 395,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,887.75 : 180,956.25 = 180,956.25 : x
  2. Step 2: Convert to fraction form
    82,887.75/180,956.25 = 180,956.25/x
  3. Step 3: Cross multiply
    82,887.75x = 180,956.25 × 180,956.25
  4. Step 4: Simplify right side
    82,887.75x = 32,745,164,414.06
  5. Step 5: Solve for x
    x = 32,745,164,414.06/82,887.75
  6. Step 6: Final answer
    x = 395,054.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.