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Finding the Third Proportional to 74,082 and 114,741

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Solution

The third proportional to 74,082 and 114,741 is: 177,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082 : 114,741 = 114,741 : x
  2. Step 2: Convert to fraction form
    74,082/114,741 = 114,741/x
  3. Step 3: Cross multiply
    74,082x = 114,741 × 114,741
  4. Step 4: Simplify right side
    74,082x = 13,165,497,081
  5. Step 5: Solve for x
    x = 13,165,497,081/74,082
  6. Step 6: Final answer
    x = 177,715.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.