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Finding the Third Proportional to 31,186.13 and 68,594.06

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Solution

The third proportional to 31,186.13 and 68,594.06 is: 150,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.13 : 68,594.06 = 68,594.06 : x
  2. Step 2: Convert to fraction form
    31,186.13/68,594.06 = 68,594.06/x
  3. Step 3: Cross multiply
    31,186.13x = 68,594.06 × 68,594.06
  4. Step 4: Simplify right side
    31,186.13x = 4,705,145,410.25
  5. Step 5: Solve for x
    x = 4,705,145,410.25/31,186.13
  6. Step 6: Final answer
    x = 150,873.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.