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Finding the Third Proportional to 74,493 and 162,913

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Solution

The third proportional to 74,493 and 162,913 is: 356,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,493 : 162,913 = 162,913 : x
  2. Step 2: Convert to fraction form
    74,493/162,913 = 162,913/x
  3. Step 3: Cross multiply
    74,493x = 162,913 × 162,913
  4. Step 4: Simplify right side
    74,493x = 26,540,645,569
  5. Step 5: Solve for x
    x = 26,540,645,569/74,493
  6. Step 6: Final answer
    x = 356,283.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.