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Finding the Third Proportional to 76,295.25 and 165,725.16

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Solution

The third proportional to 76,295.25 and 165,725.16 is: 359,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.25 : 165,725.16 = 165,725.16 : x
  2. Step 2: Convert to fraction form
    76,295.25/165,725.16 = 165,725.16/x
  3. Step 3: Cross multiply
    76,295.25x = 165,725.16 × 165,725.16
  4. Step 4: Simplify right side
    76,295.25x = 27,464,827,414.09
  5. Step 5: Solve for x
    x = 27,464,827,414.09/76,295.25
  6. Step 6: Final answer
    x = 359,980.83

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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.