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Finding the Third Proportional to 81,433.69 and 117,478.69

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Solution

The third proportional to 81,433.69 and 117,478.69 is: 169,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,433.69 : 117,478.69 = 117,478.69 : x
  2. Step 2: Convert to fraction form
    81,433.69/117,478.69 = 117,478.69/x
  3. Step 3: Cross multiply
    81,433.69x = 117,478.69 × 117,478.69
  4. Step 4: Simplify right side
    81,433.69x = 13,801,242,016.72
  5. Step 5: Solve for x
    x = 13,801,242,016.72/81,433.69
  6. Step 6: Final answer
    x = 169,478.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.