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Finding the Third Proportional to 54,801 and 80,473

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Solution

The third proportional to 54,801 and 80,473 is: 118,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801 : 80,473 = 80,473 : x
  2. Step 2: Convert to fraction form
    54,801/80,473 = 80,473/x
  3. Step 3: Cross multiply
    54,801x = 80,473 × 80,473
  4. Step 4: Simplify right side
    54,801x = 6,475,903,729
  5. Step 5: Solve for x
    x = 6,475,903,729/54,801
  6. Step 6: Final answer
    x = 118,171.27

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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.