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Finding the Third Proportional to 68,225.50 and 105,254.50

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Solution

The third proportional to 68,225.50 and 105,254.50 is: 162,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,225.50 : 105,254.50 = 105,254.50 : x
  2. Step 2: Convert to fraction form
    68,225.50/105,254.50 = 105,254.50/x
  3. Step 3: Cross multiply
    68,225.50x = 105,254.50 × 105,254.50
  4. Step 4: Simplify right side
    68,225.50x = 11,078,509,770.25
  5. Step 5: Solve for x
    x = 11,078,509,770.25/68,225.50
  6. Step 6: Final answer
    x = 162,380.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.