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Finding the Third Proportional to 54,532 and 80,009

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Solution

The third proportional to 54,532 and 80,009 is: 117,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,532 : 80,009 = 80,009 : x
  2. Step 2: Convert to fraction form
    54,532/80,009 = 80,009/x
  3. Step 3: Cross multiply
    54,532x = 80,009 × 80,009
  4. Step 4: Simplify right side
    54,532x = 6,401,440,081
  5. Step 5: Solve for x
    x = 6,401,440,081/54,532
  6. Step 6: Final answer
    x = 117,388.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.