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Finding the Third Proportional to 82,006.75 and 133,910.75

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Solution

The third proportional to 82,006.75 and 133,910.75 is: 218,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.75 : 133,910.75 = 133,910.75 : x
  2. Step 2: Convert to fraction form
    82,006.75/133,910.75 = 133,910.75/x
  3. Step 3: Cross multiply
    82,006.75x = 133,910.75 × 133,910.75
  4. Step 4: Simplify right side
    82,006.75x = 17,932,088,965.56
  5. Step 5: Solve for x
    x = 17,932,088,965.56/82,006.75
  6. Step 6: Final answer
    x = 218,666.01

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.