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Finding the Third Proportional to 43,761.50 and 89,129

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Solution

The third proportional to 43,761.50 and 89,129 is: 181,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761.50 : 89,129 = 89,129 : x
  2. Step 2: Convert to fraction form
    43,761.50/89,129 = 89,129/x
  3. Step 3: Cross multiply
    43,761.50x = 89,129 × 89,129
  4. Step 4: Simplify right side
    43,761.50x = 7,943,978,641
  5. Step 5: Solve for x
    x = 7,943,978,641/43,761.50
  6. Step 6: Final answer
    x = 181,528.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.