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Finding the Third Proportional to 82,098 and 125,307

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Solution

The third proportional to 82,098 and 125,307 is: 191,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098 : 125,307 = 125,307 : x
  2. Step 2: Convert to fraction form
    82,098/125,307 = 125,307/x
  3. Step 3: Cross multiply
    82,098x = 125,307 × 125,307
  4. Step 4: Simplify right side
    82,098x = 15,701,844,249
  5. Step 5: Solve for x
    x = 15,701,844,249/82,098
  6. Step 6: Final answer
    x = 191,257.33

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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.