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Finding the Third Proportional to 54,490 and 82,049

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Solution

The third proportional to 54,490 and 82,049 is: 123,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,490 : 82,049 = 82,049 : x
  2. Step 2: Convert to fraction form
    54,490/82,049 = 82,049/x
  3. Step 3: Cross multiply
    54,490x = 82,049 × 82,049
  4. Step 4: Simplify right side
    54,490x = 6,732,038,401
  5. Step 5: Solve for x
    x = 6,732,038,401/54,490
  6. Step 6: Final answer
    x = 123,546.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.