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Finding the Third Proportional to 83,027.50 and 180,167

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Solution

The third proportional to 83,027.50 and 180,167 is: 390,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027.50 : 180,167 = 180,167 : x
  2. Step 2: Convert to fraction form
    83,027.50/180,167 = 180,167/x
  3. Step 3: Cross multiply
    83,027.50x = 180,167 × 180,167
  4. Step 4: Simplify right side
    83,027.50x = 32,460,147,889
  5. Step 5: Solve for x
    x = 32,460,147,889/83,027.50
  6. Step 6: Final answer
    x = 390,956.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.