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Finding the Third Proportional to 76,244 and 113,256

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Solution

The third proportional to 76,244 and 113,256 is: 168,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,244 : 113,256 = 113,256 : x
  2. Step 2: Convert to fraction form
    76,244/113,256 = 113,256/x
  3. Step 3: Cross multiply
    76,244x = 113,256 × 113,256
  4. Step 4: Simplify right side
    76,244x = 12,826,921,536
  5. Step 5: Solve for x
    x = 12,826,921,536/76,244
  6. Step 6: Final answer
    x = 168,235.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.