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Finding the Third Proportional to 78,914 and 119,187

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Solution

The third proportional to 78,914 and 119,187 is: 180,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914 : 119,187 = 119,187 : x
  2. Step 2: Convert to fraction form
    78,914/119,187 = 119,187/x
  3. Step 3: Cross multiply
    78,914x = 119,187 × 119,187
  4. Step 4: Simplify right side
    78,914x = 14,205,540,969
  5. Step 5: Solve for x
    x = 14,205,540,969/78,914
  6. Step 6: Final answer
    x = 180,012.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.