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Finding the Third Proportional to 81,939 and 117,004.50

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Solution

The third proportional to 81,939 and 117,004.50 is: 167,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,939 : 117,004.50 = 117,004.50 : x
  2. Step 2: Convert to fraction form
    81,939/117,004.50 = 117,004.50/x
  3. Step 3: Cross multiply
    81,939x = 117,004.50 × 117,004.50
  4. Step 4: Simplify right side
    81,939x = 13,690,053,020.25
  5. Step 5: Solve for x
    x = 13,690,053,020.25/81,939
  6. Step 6: Final answer
    x = 167,076.15

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.