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Finding the Third Proportional to 40,542 and 85,158

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Solution

The third proportional to 40,542 and 85,158 is: 178,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,542 : 85,158 = 85,158 : x
  2. Step 2: Convert to fraction form
    40,542/85,158 = 85,158/x
  3. Step 3: Cross multiply
    40,542x = 85,158 × 85,158
  4. Step 4: Simplify right side
    40,542x = 7,251,884,964
  5. Step 5: Solve for x
    x = 7,251,884,964/40,542
  6. Step 6: Final answer
    x = 178,873.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.