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Finding the Third Proportional to 74,967 and 161,050

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Solution

The third proportional to 74,967 and 161,050 is: 345,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,967 : 161,050 = 161,050 : x
  2. Step 2: Convert to fraction form
    74,967/161,050 = 161,050/x
  3. Step 3: Cross multiply
    74,967x = 161,050 × 161,050
  4. Step 4: Simplify right side
    74,967x = 25,937,102,500
  5. Step 5: Solve for x
    x = 25,937,102,500/74,967
  6. Step 6: Final answer
    x = 345,980.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.