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Finding the Third Proportional to 39,706 and 85,167

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Solution

The third proportional to 39,706 and 85,167 is: 182,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,706 : 85,167 = 85,167 : x
  2. Step 2: Convert to fraction form
    39,706/85,167 = 85,167/x
  3. Step 3: Cross multiply
    39,706x = 85,167 × 85,167
  4. Step 4: Simplify right side
    39,706x = 7,253,417,889
  5. Step 5: Solve for x
    x = 7,253,417,889/39,706
  6. Step 6: Final answer
    x = 182,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.