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Finding the Third Proportional to 59,094 and 89,734

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Solution

The third proportional to 59,094 and 89,734 is: 136,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,094 : 89,734 = 89,734 : x
  2. Step 2: Convert to fraction form
    59,094/89,734 = 89,734/x
  3. Step 3: Cross multiply
    59,094x = 89,734 × 89,734
  4. Step 4: Simplify right side
    59,094x = 8,052,190,756
  5. Step 5: Solve for x
    x = 8,052,190,756/59,094
  6. Step 6: Final answer
    x = 136,260.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.