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Finding the Third Proportional to 74,370.75 and 113,299.13

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Solution

The third proportional to 74,370.75 and 113,299.13 is: 172,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,370.75 : 113,299.13 = 113,299.13 : x
  2. Step 2: Convert to fraction form
    74,370.75/113,299.13 = 113,299.13/x
  3. Step 3: Cross multiply
    74,370.75x = 113,299.13 × 113,299.13
  4. Step 4: Simplify right side
    74,370.75x = 12,836,691,725.77
  5. Step 5: Solve for x
    x = 12,836,691,725.77/74,370.75
  6. Step 6: Final answer
    x = 172,604.04

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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.