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Finding the Third Proportional to 82,424 and 125,220

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Solution

The third proportional to 82,424 and 125,220 is: 190,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424 : 125,220 = 125,220 : x
  2. Step 2: Convert to fraction form
    82,424/125,220 = 125,220/x
  3. Step 3: Cross multiply
    82,424x = 125,220 × 125,220
  4. Step 4: Simplify right side
    82,424x = 15,680,048,400
  5. Step 5: Solve for x
    x = 15,680,048,400/82,424
  6. Step 6: Final answer
    x = 190,236.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.