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Finding the Third Proportional to 40,178 and 85,689

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Solution

The third proportional to 40,178 and 85,689 is: 182,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178 : 85,689 = 85,689 : x
  2. Step 2: Convert to fraction form
    40,178/85,689 = 85,689/x
  3. Step 3: Cross multiply
    40,178x = 85,689 × 85,689
  4. Step 4: Simplify right side
    40,178x = 7,342,604,721
  5. Step 5: Solve for x
    x = 7,342,604,721/40,178
  6. Step 6: Final answer
    x = 182,751.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.