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Finding the Third Proportional to 50,023 and 118,082

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Solution

The third proportional to 50,023 and 118,082 is: 278,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023 : 118,082 = 118,082 : x
  2. Step 2: Convert to fraction form
    50,023/118,082 = 118,082/x
  3. Step 3: Cross multiply
    50,023x = 118,082 × 118,082
  4. Step 4: Simplify right side
    50,023x = 13,943,358,724
  5. Step 5: Solve for x
    x = 13,943,358,724/50,023
  6. Step 6: Final answer
    x = 278,738.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.