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Finding the Third Proportional to 75,453.75 and 162,762.75

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Solution

The third proportional to 75,453.75 and 162,762.75 is: 351,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453.75 : 162,762.75 = 162,762.75 : x
  2. Step 2: Convert to fraction form
    75,453.75/162,762.75 = 162,762.75/x
  3. Step 3: Cross multiply
    75,453.75x = 162,762.75 × 162,762.75
  4. Step 4: Simplify right side
    75,453.75x = 26,491,712,787.56
  5. Step 5: Solve for x
    x = 26,491,712,787.56/75,453.75
  6. Step 6: Final answer
    x = 351,098.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.