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Finding the Third Proportional to 68,188.50 and 148,768.50

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Solution

The third proportional to 68,188.50 and 148,768.50 is: 324,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,188.50 : 148,768.50 = 148,768.50 : x
  2. Step 2: Convert to fraction form
    68,188.50/148,768.50 = 148,768.50/x
  3. Step 3: Cross multiply
    68,188.50x = 148,768.50 × 148,768.50
  4. Step 4: Simplify right side
    68,188.50x = 22,132,066,592.25
  5. Step 5: Solve for x
    x = 22,132,066,592.25/68,188.50
  6. Step 6: Final answer
    x = 324,571.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.