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Finding the Third Proportional to 76,314.75 and 165,766.13

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Solution

The third proportional to 76,314.75 and 165,766.13 is: 360,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.75 : 165,766.13 = 165,766.13 : x
  2. Step 2: Convert to fraction form
    76,314.75/165,766.13 = 165,766.13/x
  3. Step 3: Cross multiply
    76,314.75x = 165,766.13 × 165,766.13
  4. Step 4: Simplify right side
    76,314.75x = 27,478,408,197.52
  5. Step 5: Solve for x
    x = 27,478,408,197.52/76,314.75
  6. Step 6: Final answer
    x = 360,066.80

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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.