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Finding the Third Proportional to 39,242 and 85,818

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Solution

The third proportional to 39,242 and 85,818 is: 187,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,242 : 85,818 = 85,818 : x
  2. Step 2: Convert to fraction form
    39,242/85,818 = 85,818/x
  3. Step 3: Cross multiply
    39,242x = 85,818 × 85,818
  4. Step 4: Simplify right side
    39,242x = 7,364,729,124
  5. Step 5: Solve for x
    x = 7,364,729,124/39,242
  6. Step 6: Final answer
    x = 187,674.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.