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Finding the Third Proportional to 82,023.56 and 117,293.63

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Solution

The third proportional to 82,023.56 and 117,293.63 is: 167,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.56 : 117,293.63 = 117,293.63 : x
  2. Step 2: Convert to fraction form
    82,023.56/117,293.63 = 117,293.63/x
  3. Step 3: Cross multiply
    82,023.56x = 117,293.63 × 117,293.63
  4. Step 4: Simplify right side
    82,023.56x = 13,757,794,465.64
  5. Step 5: Solve for x
    x = 13,757,794,465.64/82,023.56
  6. Step 6: Final answer
    x = 167,729.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.