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Finding the Third Proportional to 74,959 and 113,974

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Solution

The third proportional to 74,959 and 113,974 is: 173,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,959 : 113,974 = 113,974 : x
  2. Step 2: Convert to fraction form
    74,959/113,974 = 113,974/x
  3. Step 3: Cross multiply
    74,959x = 113,974 × 113,974
  4. Step 4: Simplify right side
    74,959x = 12,990,072,676
  5. Step 5: Solve for x
    x = 12,990,072,676/74,959
  6. Step 6: Final answer
    x = 173,295.70

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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.