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Finding the Third Proportional to 74,974 and 113,230

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Solution

The third proportional to 74,974 and 113,230 is: 171,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,974 : 113,230 = 113,230 : x
  2. Step 2: Convert to fraction form
    74,974/113,230 = 113,230/x
  3. Step 3: Cross multiply
    74,974x = 113,230 × 113,230
  4. Step 4: Simplify right side
    74,974x = 12,821,032,900
  5. Step 5: Solve for x
    x = 12,821,032,900/74,974
  6. Step 6: Final answer
    x = 171,006.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.