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Finding the Third Proportional to 124,841 and 182,589

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Solution

The third proportional to 124,841 and 182,589 is: 267,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,841 : 182,589 = 182,589 : x
  2. Step 2: Convert to fraction form
    124,841/182,589 = 182,589/x
  3. Step 3: Cross multiply
    124,841x = 182,589 × 182,589
  4. Step 4: Simplify right side
    124,841x = 33,338,742,921
  5. Step 5: Solve for x
    x = 33,338,742,921/124,841
  6. Step 6: Final answer
    x = 267,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.