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Finding the Third Proportional to 138,003.75 and 281,082.38

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Solution

The third proportional to 138,003.75 and 281,082.38 is: 572,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003.75 : 281,082.38 = 281,082.38 : x
  2. Step 2: Convert to fraction form
    138,003.75/281,082.38 = 281,082.38/x
  3. Step 3: Cross multiply
    138,003.75x = 281,082.38 × 281,082.38
  4. Step 4: Simplify right side
    138,003.75x = 79,007,301,535.64
  5. Step 5: Solve for x
    x = 79,007,301,535.64/138,003.75
  6. Step 6: Final answer
    x = 572,501.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.