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Finding the Third Proportional to 68,287.50 and 149,028

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Solution

The third proportional to 68,287.50 and 149,028 is: 325,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,287.50 : 149,028 = 149,028 : x
  2. Step 2: Convert to fraction form
    68,287.50/149,028 = 149,028/x
  3. Step 3: Cross multiply
    68,287.50x = 149,028 × 149,028
  4. Step 4: Simplify right side
    68,287.50x = 22,209,344,784
  5. Step 5: Solve for x
    x = 22,209,344,784/68,287.50
  6. Step 6: Final answer
    x = 325,232.95

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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.