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Finding the Third Proportional to 81,531 and 126,009

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Solution

The third proportional to 81,531 and 126,009 is: 194,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,531 : 126,009 = 126,009 : x
  2. Step 2: Convert to fraction form
    81,531/126,009 = 126,009/x
  3. Step 3: Cross multiply
    81,531x = 126,009 × 126,009
  4. Step 4: Simplify right side
    81,531x = 15,878,268,081
  5. Step 5: Solve for x
    x = 15,878,268,081/81,531
  6. Step 6: Final answer
    x = 194,751.30

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