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Finding the Third Proportional to 86,069 and 132,938

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Solution

The third proportional to 86,069 and 132,938 is: 205,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,069 : 132,938 = 132,938 : x
  2. Step 2: Convert to fraction form
    86,069/132,938 = 132,938/x
  3. Step 3: Cross multiply
    86,069x = 132,938 × 132,938
  4. Step 4: Simplify right side
    86,069x = 17,672,511,844
  5. Step 5: Solve for x
    x = 17,672,511,844/86,069
  6. Step 6: Final answer
    x = 205,329.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.