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Finding the Third Proportional to 53,466.33 and 80,039.39

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Solution

The third proportional to 53,466.33 and 80,039.39 is: 119,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,466.33 : 80,039.39 = 80,039.39 : x
  2. Step 2: Convert to fraction form
    53,466.33/80,039.39 = 80,039.39/x
  3. Step 3: Cross multiply
    53,466.33x = 80,039.39 × 80,039.39
  4. Step 4: Simplify right side
    53,466.33x = 6,406,304,051.62
  5. Step 5: Solve for x
    x = 6,406,304,051.62/53,466.33
  6. Step 6: Final answer
    x = 119,819.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.