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Finding the Third Proportional to 85,619.06 and 136,731.09

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Solution

The third proportional to 85,619.06 and 136,731.09 is: 218,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,619.06 : 136,731.09 = 136,731.09 : x
  2. Step 2: Convert to fraction form
    85,619.06/136,731.09 = 136,731.09/x
  3. Step 3: Cross multiply
    85,619.06x = 136,731.09 × 136,731.09
  4. Step 4: Simplify right side
    85,619.06x = 18,695,391,998.07
  5. Step 5: Solve for x
    x = 18,695,391,998.07/85,619.06
  6. Step 6: Final answer
    x = 218,355.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.