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Finding the Third Proportional to 113,375 and 247,163

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Solution

The third proportional to 113,375 and 247,163 is: 538,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,375 : 247,163 = 247,163 : x
  2. Step 2: Convert to fraction form
    113,375/247,163 = 247,163/x
  3. Step 3: Cross multiply
    113,375x = 247,163 × 247,163
  4. Step 4: Simplify right side
    113,375x = 61,089,548,569
  5. Step 5: Solve for x
    x = 61,089,548,569/113,375
  6. Step 6: Final answer
    x = 538,827.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.