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Finding the Third Proportional to 32,967 and 72,252

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Solution

The third proportional to 32,967 and 72,252 is: 158,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 72,252 = 72,252 : x
  2. Step 2: Convert to fraction form
    32,967/72,252 = 72,252/x
  3. Step 3: Cross multiply
    32,967x = 72,252 × 72,252
  4. Step 4: Simplify right side
    32,967x = 5,220,351,504
  5. Step 5: Solve for x
    x = 5,220,351,504/32,967
  6. Step 6: Final answer
    x = 158,350.82

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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.