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Finding the Third Proportional to 68,350.50 and 144,127.69

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Solution

The third proportional to 68,350.50 and 144,127.69 is: 303,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,350.50 : 144,127.69 = 144,127.69 : x
  2. Step 2: Convert to fraction form
    68,350.50/144,127.69 = 144,127.69/x
  3. Step 3: Cross multiply
    68,350.50x = 144,127.69 × 144,127.69
  4. Step 4: Simplify right side
    68,350.50x = 20,772,790,304.10
  5. Step 5: Solve for x
    x = 20,772,790,304.10/68,350.50
  6. Step 6: Final answer
    x = 303,915.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.