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Finding the Third Proportional to 113,939 and 183,059

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Solution

The third proportional to 113,939 and 183,059 is: 294,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,939 : 183,059 = 183,059 : x
  2. Step 2: Convert to fraction form
    113,939/183,059 = 183,059/x
  3. Step 3: Cross multiply
    113,939x = 183,059 × 183,059
  4. Step 4: Simplify right side
    113,939x = 33,510,597,481
  5. Step 5: Solve for x
    x = 33,510,597,481/113,939
  6. Step 6: Final answer
    x = 294,109.98

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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.