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Finding the Third Proportional to 59,296 and 89,160

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Solution

The third proportional to 59,296 and 89,160 is: 134,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,296 : 89,160 = 89,160 : x
  2. Step 2: Convert to fraction form
    59,296/89,160 = 89,160/x
  3. Step 3: Cross multiply
    59,296x = 89,160 × 89,160
  4. Step 4: Simplify right side
    59,296x = 7,949,505,600
  5. Step 5: Solve for x
    x = 7,949,505,600/59,296
  6. Step 6: Final answer
    x = 134,064.79

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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.