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Finding the Third Proportional to 48,650 and 73,954

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Solution

The third proportional to 48,650 and 73,954 is: 112,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,650 : 73,954 = 73,954 : x
  2. Step 2: Convert to fraction form
    48,650/73,954 = 73,954/x
  3. Step 3: Cross multiply
    48,650x = 73,954 × 73,954
  4. Step 4: Simplify right side
    48,650x = 5,469,194,116
  5. Step 5: Solve for x
    x = 5,469,194,116/48,650
  6. Step 6: Final answer
    x = 112,419.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.