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Finding the Third Proportional to 74,775 and 162,057

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Solution

The third proportional to 74,775 and 162,057 is: 351,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,775 : 162,057 = 162,057 : x
  2. Step 2: Convert to fraction form
    74,775/162,057 = 162,057/x
  3. Step 3: Cross multiply
    74,775x = 162,057 × 162,057
  4. Step 4: Simplify right side
    74,775x = 26,262,471,249
  5. Step 5: Solve for x
    x = 26,262,471,249/74,775
  6. Step 6: Final answer
    x = 351,219.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.