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Finding the Third Proportional to 50,964.19 and 84,229.88

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Solution

The third proportional to 50,964.19 and 84,229.88 is: 139,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964.19 : 84,229.88 = 84,229.88 : x
  2. Step 2: Convert to fraction form
    50,964.19/84,229.88 = 84,229.88/x
  3. Step 3: Cross multiply
    50,964.19x = 84,229.88 × 84,229.88
  4. Step 4: Simplify right side
    50,964.19x = 7,094,671,842.52
  5. Step 5: Solve for x
    x = 7,094,671,842.52/50,964.19
  6. Step 6: Final answer
    x = 139,208.97

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.