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Finding the Third Proportional to 55,004.06 and 132,462

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Solution

The third proportional to 55,004.06 and 132,462 is: 318,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004.06 : 132,462 = 132,462 : x
  2. Step 2: Convert to fraction form
    55,004.06/132,462 = 132,462/x
  3. Step 3: Cross multiply
    55,004.06x = 132,462 × 132,462
  4. Step 4: Simplify right side
    55,004.06x = 17,546,181,444
  5. Step 5: Solve for x
    x = 17,546,181,444/55,004.06
  6. Step 6: Final answer
    x = 318,997.92

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.