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Finding the Third Proportional to 85,827.20 and 162,442.42

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Solution

The third proportional to 85,827.20 and 162,442.42 is: 307,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,827.20 : 162,442.42 = 162,442.42 : x
  2. Step 2: Convert to fraction form
    85,827.20/162,442.42 = 162,442.42/x
  3. Step 3: Cross multiply
    85,827.20x = 162,442.42 × 162,442.42
  4. Step 4: Simplify right side
    85,827.20x = 26,387,538,203.73
  5. Step 5: Solve for x
    x = 26,387,538,203.73/85,827.20
  6. Step 6: Final answer
    x = 307,449.59

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.