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Finding the Third Proportional to 43,027.50 and 92,853

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Solution

The third proportional to 43,027.50 and 92,853 is: 200,376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,027.50 : 92,853 = 92,853 : x
  2. Step 2: Convert to fraction form
    43,027.50/92,853 = 92,853/x
  3. Step 3: Cross multiply
    43,027.50x = 92,853 × 92,853
  4. Step 4: Simplify right side
    43,027.50x = 8,621,679,609
  5. Step 5: Solve for x
    x = 8,621,679,609/43,027.50
  6. Step 6: Final answer
    x = 200,376.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.