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Finding the Third Proportional to 114,741 and 161,295

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Solution

The third proportional to 114,741 and 161,295 is: 226,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741 : 161,295 = 161,295 : x
  2. Step 2: Convert to fraction form
    114,741/161,295 = 161,295/x
  3. Step 3: Cross multiply
    114,741x = 161,295 × 161,295
  4. Step 4: Simplify right side
    114,741x = 26,016,077,025
  5. Step 5: Solve for x
    x = 26,016,077,025/114,741
  6. Step 6: Final answer
    x = 226,737.41

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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.