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Finding the Third Proportional to 85,912.31 and 122,720.06

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Solution

The third proportional to 85,912.31 and 122,720.06 is: 175,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,912.31 : 122,720.06 = 122,720.06 : x
  2. Step 2: Convert to fraction form
    85,912.31/122,720.06 = 122,720.06/x
  3. Step 3: Cross multiply
    85,912.31x = 122,720.06 × 122,720.06
  4. Step 4: Simplify right side
    85,912.31x = 15,060,213,740.00
  5. Step 5: Solve for x
    x = 15,060,213,740.00/85,912.31
  6. Step 6: Final answer
    x = 175,297.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.