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Finding the Third Proportional to 81,324 and 114,372

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Solution

The third proportional to 81,324 and 114,372 is: 160,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,324 : 114,372 = 114,372 : x
  2. Step 2: Convert to fraction form
    81,324/114,372 = 114,372/x
  3. Step 3: Cross multiply
    81,324x = 114,372 × 114,372
  4. Step 4: Simplify right side
    81,324x = 13,080,954,384
  5. Step 5: Solve for x
    x = 13,080,954,384/81,324
  6. Step 6: Final answer
    x = 160,849.86

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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.