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Finding the Third Proportional to 81,596 and 114,898

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Solution

The third proportional to 81,596 and 114,898 is: 161,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,596 : 114,898 = 114,898 : x
  2. Step 2: Convert to fraction form
    81,596/114,898 = 114,898/x
  3. Step 3: Cross multiply
    81,596x = 114,898 × 114,898
  4. Step 4: Simplify right side
    81,596x = 13,201,550,404
  5. Step 5: Solve for x
    x = 13,201,550,404/81,596
  6. Step 6: Final answer
    x = 161,791.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.