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Finding the Third Proportional to 46,676.25 and 74,212.88

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Solution

The third proportional to 46,676.25 and 74,212.88 is: 117,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676.25 : 74,212.88 = 74,212.88 : x
  2. Step 2: Convert to fraction form
    46,676.25/74,212.88 = 74,212.88/x
  3. Step 3: Cross multiply
    46,676.25x = 74,212.88 × 74,212.88
  4. Step 4: Simplify right side
    46,676.25x = 5,507,550,815.77
  5. Step 5: Solve for x
    x = 5,507,550,815.77/46,676.25
  6. Step 6: Final answer
    x = 117,994.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.