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Finding the Third Proportional to 31,200 and 71,232

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Solution

The third proportional to 31,200 and 71,232 is: 162,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200 : 71,232 = 71,232 : x
  2. Step 2: Convert to fraction form
    31,200/71,232 = 71,232/x
  3. Step 3: Cross multiply
    31,200x = 71,232 × 71,232
  4. Step 4: Simplify right side
    31,200x = 5,073,997,824
  5. Step 5: Solve for x
    x = 5,073,997,824/31,200
  6. Step 6: Final answer
    x = 162,628.14

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.