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Finding the Third Proportional to 68,793.50 and 106,327.50

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Solution

The third proportional to 68,793.50 and 106,327.50 is: 164,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,793.50 : 106,327.50 = 106,327.50 : x
  2. Step 2: Convert to fraction form
    68,793.50/106,327.50 = 106,327.50/x
  3. Step 3: Cross multiply
    68,793.50x = 106,327.50 × 106,327.50
  4. Step 4: Simplify right side
    68,793.50x = 11,305,537,256.25
  5. Step 5: Solve for x
    x = 11,305,537,256.25/68,793.50
  6. Step 6: Final answer
    x = 164,340.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.