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Finding the Third Proportional to 55,844.25 and 85,082.63

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Solution

The third proportional to 55,844.25 and 85,082.63 is: 129,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,844.25 : 85,082.63 = 85,082.63 : x
  2. Step 2: Convert to fraction form
    55,844.25/85,082.63 = 85,082.63/x
  3. Step 3: Cross multiply
    55,844.25x = 85,082.63 × 85,082.63
  4. Step 4: Simplify right side
    55,844.25x = 7,239,053,076.89
  5. Step 5: Solve for x
    x = 7,239,053,076.89/55,844.25
  6. Step 6: Final answer
    x = 129,629.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.