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Finding the Third Proportional to 63,268 and 94,758

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Solution

The third proportional to 63,268 and 94,758 is: 141,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,268 : 94,758 = 94,758 : x
  2. Step 2: Convert to fraction form
    63,268/94,758 = 94,758/x
  3. Step 3: Cross multiply
    63,268x = 94,758 × 94,758
  4. Step 4: Simplify right side
    63,268x = 8,979,078,564
  5. Step 5: Solve for x
    x = 8,979,078,564/63,268
  6. Step 6: Final answer
    x = 141,921.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.