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Finding the Third Proportional to 116,104 and 173,706

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Solution

The third proportional to 116,104 and 173,706 is: 259,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,104 : 173,706 = 173,706 : x
  2. Step 2: Convert to fraction form
    116,104/173,706 = 173,706/x
  3. Step 3: Cross multiply
    116,104x = 173,706 × 173,706
  4. Step 4: Simplify right side
    116,104x = 30,173,774,436
  5. Step 5: Solve for x
    x = 30,173,774,436/116,104
  6. Step 6: Final answer
    x = 259,885.74

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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.