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Finding the Third Proportional to 68,244 and 104,539.50

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Solution

The third proportional to 68,244 and 104,539.50 is: 160,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244 : 104,539.50 = 104,539.50 : x
  2. Step 2: Convert to fraction form
    68,244/104,539.50 = 104,539.50/x
  3. Step 3: Cross multiply
    68,244x = 104,539.50 × 104,539.50
  4. Step 4: Simplify right side
    68,244x = 10,928,507,060.25
  5. Step 5: Solve for x
    x = 10,928,507,060.25/68,244
  6. Step 6: Final answer
    x = 160,138.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.