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Finding the Third Proportional to 39,328 and 85,567

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Solution

The third proportional to 39,328 and 85,567 is: 186,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,328 : 85,567 = 85,567 : x
  2. Step 2: Convert to fraction form
    39,328/85,567 = 85,567/x
  3. Step 3: Cross multiply
    39,328x = 85,567 × 85,567
  4. Step 4: Simplify right side
    39,328x = 7,321,711,489
  5. Step 5: Solve for x
    x = 7,321,711,489/39,328
  6. Step 6: Final answer
    x = 186,170.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.