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Finding the Third Proportional to 54,347 and 114,589

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Solution

The third proportional to 54,347 and 114,589 is: 241,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,347 : 114,589 = 114,589 : x
  2. Step 2: Convert to fraction form
    54,347/114,589 = 114,589/x
  3. Step 3: Cross multiply
    54,347x = 114,589 × 114,589
  4. Step 4: Simplify right side
    54,347x = 13,130,638,921
  5. Step 5: Solve for x
    x = 13,130,638,921/54,347
  6. Step 6: Final answer
    x = 241,607.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.