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Finding the Third Proportional to 32,932 and 72,116

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Solution

The third proportional to 32,932 and 72,116 is: 157,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932 : 72,116 = 72,116 : x
  2. Step 2: Convert to fraction form
    32,932/72,116 = 72,116/x
  3. Step 3: Cross multiply
    32,932x = 72,116 × 72,116
  4. Step 4: Simplify right side
    32,932x = 5,200,717,456
  5. Step 5: Solve for x
    x = 5,200,717,456/32,932
  6. Step 6: Final answer
    x = 157,922.92

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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.