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Finding the Third Proportional to 55,142.02 and 82,493.75

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Solution

The third proportional to 55,142.02 and 82,493.75 is: 123,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.02 : 82,493.75 = 82,493.75 : x
  2. Step 2: Convert to fraction form
    55,142.02/82,493.75 = 82,493.75/x
  3. Step 3: Cross multiply
    55,142.02x = 82,493.75 × 82,493.75
  4. Step 4: Simplify right side
    55,142.02x = 6,805,219,433.54
  5. Step 5: Solve for x
    x = 6,805,219,433.54/55,142.02
  6. Step 6: Final answer
    x = 123,412.60

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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.