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Finding the Third Proportional to 71,760.94 and 155,003.63

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Solution

The third proportional to 71,760.94 and 155,003.63 is: 334,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.94 : 155,003.63 = 155,003.63 : x
  2. Step 2: Convert to fraction form
    71,760.94/155,003.63 = 155,003.63/x
  3. Step 3: Cross multiply
    71,760.94x = 155,003.63 × 155,003.63
  4. Step 4: Simplify right side
    71,760.94x = 24,026,123,763.14
  5. Step 5: Solve for x
    x = 24,026,123,763.14/71,760.94
  6. Step 6: Final answer
    x = 334,807.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.