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Finding the Third Proportional to 44,189 and 68,269.50

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Solution

The third proportional to 44,189 and 68,269.50 is: 105,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,189 : 68,269.50 = 68,269.50 : x
  2. Step 2: Convert to fraction form
    44,189/68,269.50 = 68,269.50/x
  3. Step 3: Cross multiply
    44,189x = 68,269.50 × 68,269.50
  4. Step 4: Simplify right side
    44,189x = 4,660,724,630.25
  5. Step 5: Solve for x
    x = 4,660,724,630.25/44,189
  6. Step 6: Final answer
    x = 105,472.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.