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Finding the Third Proportional to 86,006 and 132,897

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Solution

The third proportional to 86,006 and 132,897 is: 205,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006 : 132,897 = 132,897 : x
  2. Step 2: Convert to fraction form
    86,006/132,897 = 132,897/x
  3. Step 3: Cross multiply
    86,006x = 132,897 × 132,897
  4. Step 4: Simplify right side
    86,006x = 17,661,612,609
  5. Step 5: Solve for x
    x = 17,661,612,609/86,006
  6. Step 6: Final answer
    x = 205,353.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.