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Finding the Third Proportional to 117,705.75 and 165,828.75

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Solution

The third proportional to 117,705.75 and 165,828.75 is: 233,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,705.75 : 165,828.75 = 165,828.75 : x
  2. Step 2: Convert to fraction form
    117,705.75/165,828.75 = 165,828.75/x
  3. Step 3: Cross multiply
    117,705.75x = 165,828.75 × 165,828.75
  4. Step 4: Simplify right side
    117,705.75x = 27,499,174,326.56
  5. Step 5: Solve for x
    x = 27,499,174,326.56/117,705.75
  6. Step 6: Final answer
    x = 233,626.43

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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.