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Finding the Third Proportional to 117,723.75 and 165,855.75

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Solution

The third proportional to 117,723.75 and 165,855.75 is: 233,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,723.75 : 165,855.75 = 165,855.75 : x
  2. Step 2: Convert to fraction form
    117,723.75/165,855.75 = 165,855.75/x
  3. Step 3: Cross multiply
    117,723.75x = 165,855.75 × 165,855.75
  4. Step 4: Simplify right side
    117,723.75x = 27,508,129,808.06
  5. Step 5: Solve for x
    x = 27,508,129,808.06/117,723.75
  6. Step 6: Final answer
    x = 233,666.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.