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Finding the Third Proportional to 81,546 and 126,030

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Solution

The third proportional to 81,546 and 126,030 is: 194,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546 : 126,030 = 126,030 : x
  2. Step 2: Convert to fraction form
    81,546/126,030 = 126,030/x
  3. Step 3: Cross multiply
    81,546x = 126,030 × 126,030
  4. Step 4: Simplify right side
    81,546x = 15,883,560,900
  5. Step 5: Solve for x
    x = 15,883,560,900/81,546
  6. Step 6: Final answer
    x = 194,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.