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Finding the Third Proportional to 73,926.56 and 115,815.94

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Solution

The third proportional to 73,926.56 and 115,815.94 is: 181,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926.56 : 115,815.94 = 115,815.94 : x
  2. Step 2: Convert to fraction form
    73,926.56/115,815.94 = 115,815.94/x
  3. Step 3: Cross multiply
    73,926.56x = 115,815.94 × 115,815.94
  4. Step 4: Simplify right side
    73,926.56x = 13,413,331,379.00
  5. Step 5: Solve for x
    x = 13,413,331,379.00/73,926.56
  6. Step 6: Final answer
    x = 181,441.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.