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Finding the Third Proportional to 48,914 and 69,963

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Solution

The third proportional to 48,914 and 69,963 is: 100,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,914 : 69,963 = 69,963 : x
  2. Step 2: Convert to fraction form
    48,914/69,963 = 69,963/x
  3. Step 3: Cross multiply
    48,914x = 69,963 × 69,963
  4. Step 4: Simplify right side
    48,914x = 4,894,821,369
  5. Step 5: Solve for x
    x = 4,894,821,369/48,914
  6. Step 6: Final answer
    x = 100,069.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.