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Finding the Third Proportional to 85,999 and 132,833

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Solution

The third proportional to 85,999 and 132,833 is: 205,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999 : 132,833 = 132,833 : x
  2. Step 2: Convert to fraction form
    85,999/132,833 = 132,833/x
  3. Step 3: Cross multiply
    85,999x = 132,833 × 132,833
  4. Step 4: Simplify right side
    85,999x = 17,644,605,889
  5. Step 5: Solve for x
    x = 17,644,605,889/85,999
  6. Step 6: Final answer
    x = 205,172.22

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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.