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Finding the Third Proportional to 82,072 and 125,580

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Solution

The third proportional to 82,072 and 125,580 is: 192,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,072 : 125,580 = 125,580 : x
  2. Step 2: Convert to fraction form
    82,072/125,580 = 125,580/x
  3. Step 3: Cross multiply
    82,072x = 125,580 × 125,580
  4. Step 4: Simplify right side
    82,072x = 15,770,336,400
  5. Step 5: Solve for x
    x = 15,770,336,400/82,072
  6. Step 6: Final answer
    x = 192,152.46

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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.