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Finding the Third Proportional to 47,531 and 71,152

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Solution

The third proportional to 47,531 and 71,152 is: 106,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531 : 71,152 = 71,152 : x
  2. Step 2: Convert to fraction form
    47,531/71,152 = 71,152/x
  3. Step 3: Cross multiply
    47,531x = 71,152 × 71,152
  4. Step 4: Simplify right side
    47,531x = 5,062,607,104
  5. Step 5: Solve for x
    x = 5,062,607,104/47,531
  6. Step 6: Final answer
    x = 106,511.69

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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.