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Finding the Third Proportional to 71,821.69 and 113,671.69

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Solution

The third proportional to 71,821.69 and 113,671.69 is: 179,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821.69 : 113,671.69 = 113,671.69 : x
  2. Step 2: Convert to fraction form
    71,821.69/113,671.69 = 113,671.69/x
  3. Step 3: Cross multiply
    71,821.69x = 113,671.69 × 113,671.69
  4. Step 4: Simplify right side
    71,821.69x = 12,921,252,539.10
  5. Step 5: Solve for x
    x = 12,921,252,539.10/71,821.69
  6. Step 6: Final answer
    x = 179,907.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.