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Finding the Third Proportional to 83,022.75 and 177,860.25

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Solution

The third proportional to 83,022.75 and 177,860.25 is: 381,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022.75 : 177,860.25 = 177,860.25 : x
  2. Step 2: Convert to fraction form
    83,022.75/177,860.25 = 177,860.25/x
  3. Step 3: Cross multiply
    83,022.75x = 177,860.25 × 177,860.25
  4. Step 4: Simplify right side
    83,022.75x = 31,634,268,530.06
  5. Step 5: Solve for x
    x = 31,634,268,530.06/83,022.75
  6. Step 6: Final answer
    x = 381,031.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.