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Finding the Third Proportional to 55,608 and 81,467

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Solution

The third proportional to 55,608 and 81,467 is: 119,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,608 : 81,467 = 81,467 : x
  2. Step 2: Convert to fraction form
    55,608/81,467 = 81,467/x
  3. Step 3: Cross multiply
    55,608x = 81,467 × 81,467
  4. Step 4: Simplify right side
    55,608x = 6,636,872,089
  5. Step 5: Solve for x
    x = 6,636,872,089/55,608
  6. Step 6: Final answer
    x = 119,351.03

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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.