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Finding the Third Proportional to 55,461 and 122,775

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Solution

The third proportional to 55,461 and 122,775 is: 271,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461 : 122,775 = 122,775 : x
  2. Step 2: Convert to fraction form
    55,461/122,775 = 122,775/x
  3. Step 3: Cross multiply
    55,461x = 122,775 × 122,775
  4. Step 4: Simplify right side
    55,461x = 15,073,700,625
  5. Step 5: Solve for x
    x = 15,073,700,625/55,461
  6. Step 6: Final answer
    x = 271,789.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.