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Finding the Third Proportional to 68,229.50 and 148,114

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Solution

The third proportional to 68,229.50 and 148,114 is: 321,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229.50 : 148,114 = 148,114 : x
  2. Step 2: Convert to fraction form
    68,229.50/148,114 = 148,114/x
  3. Step 3: Cross multiply
    68,229.50x = 148,114 × 148,114
  4. Step 4: Simplify right side
    68,229.50x = 21,937,756,996
  5. Step 5: Solve for x
    x = 21,937,756,996/68,229.50
  6. Step 6: Final answer
    x = 321,528.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.