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Finding the Third Proportional to 48,775 and 72,954

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Solution

The third proportional to 48,775 and 72,954 is: 109,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,775 : 72,954 = 72,954 : x
  2. Step 2: Convert to fraction form
    48,775/72,954 = 72,954/x
  3. Step 3: Cross multiply
    48,775x = 72,954 × 72,954
  4. Step 4: Simplify right side
    48,775x = 5,322,286,116
  5. Step 5: Solve for x
    x = 5,322,286,116/48,775
  6. Step 6: Final answer
    x = 109,119.14

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Why These Related Problems?

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