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Finding the Third Proportional to 85,199.06 and 133,661.81

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Solution

The third proportional to 85,199.06 and 133,661.81 is: 209,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,199.06 : 133,661.81 = 133,661.81 : x
  2. Step 2: Convert to fraction form
    85,199.06/133,661.81 = 133,661.81/x
  3. Step 3: Cross multiply
    85,199.06x = 133,661.81 × 133,661.81
  4. Step 4: Simplify right side
    85,199.06x = 17,865,480,120.79
  5. Step 5: Solve for x
    x = 17,865,480,120.79/85,199.06
  6. Step 6: Final answer
    x = 209,691.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.