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Finding the Third Proportional to 31,390.50 and 68,109

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Solution

The third proportional to 31,390.50 and 68,109 is: 147,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.50 : 68,109 = 68,109 : x
  2. Step 2: Convert to fraction form
    31,390.50/68,109 = 68,109/x
  3. Step 3: Cross multiply
    31,390.50x = 68,109 × 68,109
  4. Step 4: Simplify right side
    31,390.50x = 4,638,835,881
  5. Step 5: Solve for x
    x = 4,638,835,881/31,390.50
  6. Step 6: Final answer
    x = 147,778.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.