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Finding the Third Proportional to 45,958 and 73,736

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Solution

The third proportional to 45,958 and 73,736 is: 118,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,958 : 73,736 = 73,736 : x
  2. Step 2: Convert to fraction form
    45,958/73,736 = 73,736/x
  3. Step 3: Cross multiply
    45,958x = 73,736 × 73,736
  4. Step 4: Simplify right side
    45,958x = 5,436,997,696
  5. Step 5: Solve for x
    x = 5,436,997,696/45,958
  6. Step 6: Final answer
    x = 118,303.62

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.