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Finding the Third Proportional to 76,781.25 and 118,452.38

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Solution

The third proportional to 76,781.25 and 118,452.38 is: 182,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781.25 : 118,452.38 = 118,452.38 : x
  2. Step 2: Convert to fraction form
    76,781.25/118,452.38 = 118,452.38/x
  3. Step 3: Cross multiply
    76,781.25x = 118,452.38 × 118,452.38
  4. Step 4: Simplify right side
    76,781.25x = 14,030,965,143.14
  5. Step 5: Solve for x
    x = 14,030,965,143.14/76,781.25
  6. Step 6: Final answer
    x = 182,739.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.