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Finding the Third Proportional to 59,531 and 80,848

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Solution

The third proportional to 59,531 and 80,848 is: 109,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,531 : 80,848 = 80,848 : x
  2. Step 2: Convert to fraction form
    59,531/80,848 = 80,848/x
  3. Step 3: Cross multiply
    59,531x = 80,848 × 80,848
  4. Step 4: Simplify right side
    59,531x = 6,536,399,104
  5. Step 5: Solve for x
    x = 6,536,399,104/59,531
  6. Step 6: Final answer
    x = 109,798.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.