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Finding the Third Proportional to 39,503.25 and 86,107.50

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Solution

The third proportional to 39,503.25 and 86,107.50 is: 187,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,503.25 : 86,107.50 = 86,107.50 : x
  2. Step 2: Convert to fraction form
    39,503.25/86,107.50 = 86,107.50/x
  3. Step 3: Cross multiply
    39,503.25x = 86,107.50 × 86,107.50
  4. Step 4: Simplify right side
    39,503.25x = 7,414,501,556.25
  5. Step 5: Solve for x
    x = 7,414,501,556.25/39,503.25
  6. Step 6: Final answer
    x = 187,693.46

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