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Finding the Third Proportional to 76,488.75 and 165,687

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Solution

The third proportional to 76,488.75 and 165,687 is: 358,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488.75 : 165,687 = 165,687 : x
  2. Step 2: Convert to fraction form
    76,488.75/165,687 = 165,687/x
  3. Step 3: Cross multiply
    76,488.75x = 165,687 × 165,687
  4. Step 4: Simplify right side
    76,488.75x = 27,452,181,969
  5. Step 5: Solve for x
    x = 27,452,181,969/76,488.75
  6. Step 6: Final answer
    x = 358,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.