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Finding the Third Proportional to 79,907 and 174,844

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Solution

The third proportional to 79,907 and 174,844 is: 382,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,907 : 174,844 = 174,844 : x
  2. Step 2: Convert to fraction form
    79,907/174,844 = 174,844/x
  3. Step 3: Cross multiply
    79,907x = 174,844 × 174,844
  4. Step 4: Simplify right side
    79,907x = 30,570,424,336
  5. Step 5: Solve for x
    x = 30,570,424,336/79,907
  6. Step 6: Final answer
    x = 382,575.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.