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Finding the Third Proportional to 74,886.75 and 113,868

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Solution

The third proportional to 74,886.75 and 113,868 is: 173,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,886.75 : 113,868 = 113,868 : x
  2. Step 2: Convert to fraction form
    74,886.75/113,868 = 113,868/x
  3. Step 3: Cross multiply
    74,886.75x = 113,868 × 113,868
  4. Step 4: Simplify right side
    74,886.75x = 12,965,921,424
  5. Step 5: Solve for x
    x = 12,965,921,424/74,886.75
  6. Step 6: Final answer
    x = 173,140.39

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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.