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Finding the Third Proportional to 85,064.25 and 178,835.25

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Solution

The third proportional to 85,064.25 and 178,835.25 is: 375,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,064.25 : 178,835.25 = 178,835.25 : x
  2. Step 2: Convert to fraction form
    85,064.25/178,835.25 = 178,835.25/x
  3. Step 3: Cross multiply
    85,064.25x = 178,835.25 × 178,835.25
  4. Step 4: Simplify right side
    85,064.25x = 31,982,046,642.56
  5. Step 5: Solve for x
    x = 31,982,046,642.56/85,064.25
  6. Step 6: Final answer
    x = 375,975.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.