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Finding the Third Proportional to 74,932 and 116,016

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Solution

The third proportional to 74,932 and 116,016 is: 179,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,932 : 116,016 = 116,016 : x
  2. Step 2: Convert to fraction form
    74,932/116,016 = 116,016/x
  3. Step 3: Cross multiply
    74,932x = 116,016 × 116,016
  4. Step 4: Simplify right side
    74,932x = 13,459,712,256
  5. Step 5: Solve for x
    x = 13,459,712,256/74,932
  6. Step 6: Final answer
    x = 179,625.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.