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Finding the Third Proportional to 113,839 and 182,909

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Solution

The third proportional to 113,839 and 182,909 is: 293,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,839 : 182,909 = 182,909 : x
  2. Step 2: Convert to fraction form
    113,839/182,909 = 182,909/x
  3. Step 3: Cross multiply
    113,839x = 182,909 × 182,909
  4. Step 4: Simplify right side
    113,839x = 33,455,702,281
  5. Step 5: Solve for x
    x = 33,455,702,281/113,839
  6. Step 6: Final answer
    x = 293,886.12

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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.