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Finding the Third Proportional to 52,006 and 79,954

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Solution

The third proportional to 52,006 and 79,954 is: 122,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 79,954 = 79,954 : x
  2. Step 2: Convert to fraction form
    52,006/79,954 = 79,954/x
  3. Step 3: Cross multiply
    52,006x = 79,954 × 79,954
  4. Step 4: Simplify right side
    52,006x = 6,392,642,116
  5. Step 5: Solve for x
    x = 6,392,642,116/52,006
  6. Step 6: Final answer
    x = 122,921.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.