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Finding the Third Proportional to 37,139.25 and 81,082.50

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Solution

The third proportional to 37,139.25 and 81,082.50 is: 177,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,139.25 : 81,082.50 = 81,082.50 : x
  2. Step 2: Convert to fraction form
    37,139.25/81,082.50 = 81,082.50/x
  3. Step 3: Cross multiply
    37,139.25x = 81,082.50 × 81,082.50
  4. Step 4: Simplify right side
    37,139.25x = 6,574,371,806.25
  5. Step 5: Solve for x
    x = 6,574,371,806.25/37,139.25
  6. Step 6: Final answer
    x = 177,019.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.