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Finding the Third Proportional to 74,117 and 162,997

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Solution

The third proportional to 74,117 and 162,997 is: 358,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,117 : 162,997 = 162,997 : x
  2. Step 2: Convert to fraction form
    74,117/162,997 = 162,997/x
  3. Step 3: Cross multiply
    74,117x = 162,997 × 162,997
  4. Step 4: Simplify right side
    74,117x = 26,568,022,009
  5. Step 5: Solve for x
    x = 26,568,022,009/74,117
  6. Step 6: Final answer
    x = 358,460.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.