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Finding the Third Proportional to 75,451.56 and 159,898.88

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Solution

The third proportional to 75,451.56 and 159,898.88 is: 338,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.56 : 159,898.88 = 159,898.88 : x
  2. Step 2: Convert to fraction form
    75,451.56/159,898.88 = 159,898.88/x
  3. Step 3: Cross multiply
    75,451.56x = 159,898.88 × 159,898.88
  4. Step 4: Simplify right side
    75,451.56x = 25,567,650,226.27
  5. Step 5: Solve for x
    x = 25,567,650,226.27/75,451.56
  6. Step 6: Final answer
    x = 338,861.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.