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Finding the Third Proportional to 116,659.13 and 165,044.25

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Solution

The third proportional to 116,659.13 and 165,044.25 is: 233,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 165,044.25 = 165,044.25 : x
  2. Step 2: Convert to fraction form
    116,659.13/165,044.25 = 165,044.25/x
  3. Step 3: Cross multiply
    116,659.13x = 165,044.25 × 165,044.25
  4. Step 4: Simplify right side
    116,659.13x = 27,239,604,458.06
  5. Step 5: Solve for x
    x = 27,239,604,458.06/116,659.13
  6. Step 6: Final answer
    x = 233,497.42

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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.