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Finding the Third Proportional to 81,389.50 and 126,008

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Solution

The third proportional to 81,389.50 and 126,008 is: 195,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,389.50 : 126,008 = 126,008 : x
  2. Step 2: Convert to fraction form
    81,389.50/126,008 = 126,008/x
  3. Step 3: Cross multiply
    81,389.50x = 126,008 × 126,008
  4. Step 4: Simplify right side
    81,389.50x = 15,878,016,064
  5. Step 5: Solve for x
    x = 15,878,016,064/81,389.50
  6. Step 6: Final answer
    x = 195,086.79

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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.