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Finding the Third Proportional to 40,056.75 and 85,475.25

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Solution

The third proportional to 40,056.75 and 85,475.25 is: 182,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,056.75 : 85,475.25 = 85,475.25 : x
  2. Step 2: Convert to fraction form
    40,056.75/85,475.25 = 85,475.25/x
  3. Step 3: Cross multiply
    40,056.75x = 85,475.25 × 85,475.25
  4. Step 4: Simplify right side
    40,056.75x = 7,306,018,362.56
  5. Step 5: Solve for x
    x = 7,306,018,362.56/40,056.75
  6. Step 6: Final answer
    x = 182,391.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.