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Finding the Third Proportional to 117,574 and 161,962

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Solution

The third proportional to 117,574 and 161,962 is: 223,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,574 : 161,962 = 161,962 : x
  2. Step 2: Convert to fraction form
    117,574/161,962 = 161,962/x
  3. Step 3: Cross multiply
    117,574x = 161,962 × 161,962
  4. Step 4: Simplify right side
    117,574x = 26,231,689,444
  5. Step 5: Solve for x
    x = 26,231,689,444/117,574
  6. Step 6: Final answer
    x = 223,107.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.