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Finding the Third Proportional to 32,958 and 72,162

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Solution

The third proportional to 32,958 and 72,162 is: 157,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958 : 72,162 = 72,162 : x
  2. Step 2: Convert to fraction form
    32,958/72,162 = 72,162/x
  3. Step 3: Cross multiply
    32,958x = 72,162 × 72,162
  4. Step 4: Simplify right side
    32,958x = 5,207,354,244
  5. Step 5: Solve for x
    x = 5,207,354,244/32,958
  6. Step 6: Final answer
    x = 157,999.70

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Why These Related Problems?

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