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Finding the Third Proportional to 68,528.53 and 149,470.31

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Solution

The third proportional to 68,528.53 and 149,470.31 is: 326,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528.53 : 149,470.31 = 149,470.31 : x
  2. Step 2: Convert to fraction form
    68,528.53/149,470.31 = 149,470.31/x
  3. Step 3: Cross multiply
    68,528.53x = 149,470.31 × 149,470.31
  4. Step 4: Simplify right side
    68,528.53x = 22,341,374,318.85
  5. Step 5: Solve for x
    x = 22,341,374,318.85/68,528.53
  6. Step 6: Final answer
    x = 326,015.66

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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.