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Finding the Third Proportional to 72,852 and 111,390

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Solution

The third proportional to 72,852 and 111,390 is: 170,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,852 : 111,390 = 111,390 : x
  2. Step 2: Convert to fraction form
    72,852/111,390 = 111,390/x
  3. Step 3: Cross multiply
    72,852x = 111,390 × 111,390
  4. Step 4: Simplify right side
    72,852x = 12,407,732,100
  5. Step 5: Solve for x
    x = 12,407,732,100/72,852
  6. Step 6: Final answer
    x = 170,314.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.