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Finding the Third Proportional to 67,942.13 and 99,914.63

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Solution

The third proportional to 67,942.13 and 99,914.63 is: 146,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,942.13 : 99,914.63 = 99,914.63 : x
  2. Step 2: Convert to fraction form
    67,942.13/99,914.63 = 99,914.63/x
  3. Step 3: Cross multiply
    67,942.13x = 99,914.63 × 99,914.63
  4. Step 4: Simplify right side
    67,942.13x = 9,982,932,288.89
  5. Step 5: Solve for x
    x = 9,982,932,288.89/67,942.13
  6. Step 6: Final answer
    x = 146,932.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.