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Finding the Third Proportional to 73,890.56 and 114,633.56

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Solution

The third proportional to 73,890.56 and 114,633.56 is: 177,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890.56 : 114,633.56 = 114,633.56 : x
  2. Step 2: Convert to fraction form
    73,890.56/114,633.56 = 114,633.56/x
  3. Step 3: Cross multiply
    73,890.56x = 114,633.56 × 114,633.56
  4. Step 4: Simplify right side
    73,890.56x = 13,140,853,651.44
  5. Step 5: Solve for x
    x = 13,140,853,651.44/73,890.56
  6. Step 6: Final answer
    x = 177,842.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.