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Finding the Third Proportional to 50,637.38 and 80,078.63

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Solution

The third proportional to 50,637.38 and 80,078.63 is: 126,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,637.38 : 80,078.63 = 80,078.63 : x
  2. Step 2: Convert to fraction form
    50,637.38/80,078.63 = 80,078.63/x
  3. Step 3: Cross multiply
    50,637.38x = 80,078.63 × 80,078.63
  4. Step 4: Simplify right side
    50,637.38x = 6,412,586,181.89
  5. Step 5: Solve for x
    x = 6,412,586,181.89/50,637.38
  6. Step 6: Final answer
    x = 126,637.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.