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Finding the Third Proportional to 48,006 and 75,954

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Solution

The third proportional to 48,006 and 75,954 is: 120,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,006 : 75,954 = 75,954 : x
  2. Step 2: Convert to fraction form
    48,006/75,954 = 75,954/x
  3. Step 3: Cross multiply
    48,006x = 75,954 × 75,954
  4. Step 4: Simplify right side
    48,006x = 5,769,010,116
  5. Step 5: Solve for x
    x = 5,769,010,116/48,006
  6. Step 6: Final answer
    x = 120,172.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.