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Finding the Third Proportional to 76,506.75 and 165,723.75

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Solution

The third proportional to 76,506.75 and 165,723.75 is: 358,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.75 : 165,723.75 = 165,723.75 : x
  2. Step 2: Convert to fraction form
    76,506.75/165,723.75 = 165,723.75/x
  3. Step 3: Cross multiply
    76,506.75x = 165,723.75 × 165,723.75
  4. Step 4: Simplify right side
    76,506.75x = 27,464,361,314.06
  5. Step 5: Solve for x
    x = 27,464,361,314.06/76,506.75
  6. Step 6: Final answer
    x = 358,979.58

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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.