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Finding the Third Proportional to 59,984.50 and 138,867

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Solution

The third proportional to 59,984.50 and 138,867 is: 321,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984.50 : 138,867 = 138,867 : x
  2. Step 2: Convert to fraction form
    59,984.50/138,867 = 138,867/x
  3. Step 3: Cross multiply
    59,984.50x = 138,867 × 138,867
  4. Step 4: Simplify right side
    59,984.50x = 19,284,043,689
  5. Step 5: Solve for x
    x = 19,284,043,689/59,984.50
  6. Step 6: Final answer
    x = 321,483.78

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.