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Finding the Third Proportional to 85,329 and 114,869

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Solution

The third proportional to 85,329 and 114,869 is: 154,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329 : 114,869 = 114,869 : x
  2. Step 2: Convert to fraction form
    85,329/114,869 = 114,869/x
  3. Step 3: Cross multiply
    85,329x = 114,869 × 114,869
  4. Step 4: Simplify right side
    85,329x = 13,194,887,161
  5. Step 5: Solve for x
    x = 13,194,887,161/85,329
  6. Step 6: Final answer
    x = 154,635.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.