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Finding the Third Proportional to 42,858.50 and 95,653

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Solution

The third proportional to 42,858.50 and 95,653 is: 213,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858.50 : 95,653 = 95,653 : x
  2. Step 2: Convert to fraction form
    42,858.50/95,653 = 95,653/x
  3. Step 3: Cross multiply
    42,858.50x = 95,653 × 95,653
  4. Step 4: Simplify right side
    42,858.50x = 9,149,496,409
  5. Step 5: Solve for x
    x = 9,149,496,409/42,858.50
  6. Step 6: Final answer
    x = 213,481.49

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.