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Finding the Third Proportional to 113,941 and 183,062

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Solution

The third proportional to 113,941 and 183,062 is: 294,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,941 : 183,062 = 183,062 : x
  2. Step 2: Convert to fraction form
    113,941/183,062 = 183,062/x
  3. Step 3: Cross multiply
    113,941x = 183,062 × 183,062
  4. Step 4: Simplify right side
    113,941x = 33,511,695,844
  5. Step 5: Solve for x
    x = 33,511,695,844/113,941
  6. Step 6: Final answer
    x = 294,114.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.