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Finding the Third Proportional to 62,112 and 93,456

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Solution

The third proportional to 62,112 and 93,456 is: 140,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,112 : 93,456 = 93,456 : x
  2. Step 2: Convert to fraction form
    62,112/93,456 = 93,456/x
  3. Step 3: Cross multiply
    62,112x = 93,456 × 93,456
  4. Step 4: Simplify right side
    62,112x = 8,734,023,936
  5. Step 5: Solve for x
    x = 8,734,023,936/62,112
  6. Step 6: Final answer
    x = 140,617.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.