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Finding the Third Proportional to 116,044 and 173,634

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Solution

The third proportional to 116,044 and 173,634 is: 259,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,044 : 173,634 = 173,634 : x
  2. Step 2: Convert to fraction form
    116,044/173,634 = 173,634/x
  3. Step 3: Cross multiply
    116,044x = 173,634 × 173,634
  4. Step 4: Simplify right side
    116,044x = 30,148,765,956
  5. Step 5: Solve for x
    x = 30,148,765,956/116,044
  6. Step 6: Final answer
    x = 259,804.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.