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Finding the Third Proportional to 82,028.25 and 126,536.63

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Solution

The third proportional to 82,028.25 and 126,536.63 is: 195,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028.25 : 126,536.63 = 126,536.63 : x
  2. Step 2: Convert to fraction form
    82,028.25/126,536.63 = 126,536.63/x
  3. Step 3: Cross multiply
    82,028.25x = 126,536.63 × 126,536.63
  4. Step 4: Simplify right side
    82,028.25x = 16,011,517,466.39
  5. Step 5: Solve for x
    x = 16,011,517,466.39/82,028.25
  6. Step 6: Final answer
    x = 195,195.16

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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.