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Finding the Third Proportional to 43,299 and 58,189.50

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Solution

The third proportional to 43,299 and 58,189.50 is: 78,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,299 : 58,189.50 = 58,189.50 : x
  2. Step 2: Convert to fraction form
    43,299/58,189.50 = 58,189.50/x
  3. Step 3: Cross multiply
    43,299x = 58,189.50 × 58,189.50
  4. Step 4: Simplify right side
    43,299x = 3,386,017,910.25
  5. Step 5: Solve for x
    x = 3,386,017,910.25/43,299
  6. Step 6: Final answer
    x = 78,200.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.