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Finding the Third Proportional to 114,733.97 and 161,285.34

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Solution

The third proportional to 114,733.97 and 161,285.34 is: 226,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,733.97 : 161,285.34 = 161,285.34 : x
  2. Step 2: Convert to fraction form
    114,733.97/161,285.34 = 161,285.34/x
  3. Step 3: Cross multiply
    114,733.97x = 161,285.34 × 161,285.34
  4. Step 4: Simplify right side
    114,733.97x = 26,012,962,108.56
  5. Step 5: Solve for x
    x = 26,012,962,108.56/114,733.97
  6. Step 6: Final answer
    x = 226,724.15

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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.