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Finding the Third Proportional to 55,851 and 122,757

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Solution

The third proportional to 55,851 and 122,757 is: 269,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,851 : 122,757 = 122,757 : x
  2. Step 2: Convert to fraction form
    55,851/122,757 = 122,757/x
  3. Step 3: Cross multiply
    55,851x = 122,757 × 122,757
  4. Step 4: Simplify right side
    55,851x = 15,069,281,049
  5. Step 5: Solve for x
    x = 15,069,281,049/55,851
  6. Step 6: Final answer
    x = 269,812.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.