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Finding the Third Proportional to 116,625 and 185,664

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Solution

The third proportional to 116,625 and 185,664 is: 295,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,625 : 185,664 = 185,664 : x
  2. Step 2: Convert to fraction form
    116,625/185,664 = 185,664/x
  3. Step 3: Cross multiply
    116,625x = 185,664 × 185,664
  4. Step 4: Simplify right side
    116,625x = 34,471,120,896
  5. Step 5: Solve for x
    x = 34,471,120,896/116,625
  6. Step 6: Final answer
    x = 295,572.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.