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Finding the Third Proportional to 82,017.75 and 118,530.75

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Solution

The third proportional to 82,017.75 and 118,530.75 is: 171,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.75 : 118,530.75 = 118,530.75 : x
  2. Step 2: Convert to fraction form
    82,017.75/118,530.75 = 118,530.75/x
  3. Step 3: Cross multiply
    82,017.75x = 118,530.75 × 118,530.75
  4. Step 4: Simplify right side
    82,017.75x = 14,049,538,695.56
  5. Step 5: Solve for x
    x = 14,049,538,695.56/82,017.75
  6. Step 6: Final answer
    x = 171,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.