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Finding the Third Proportional to 56,852 and 89,180

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Solution

The third proportional to 56,852 and 89,180 is: 139,890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852 : 89,180 = 89,180 : x
  2. Step 2: Convert to fraction form
    56,852/89,180 = 89,180/x
  3. Step 3: Cross multiply
    56,852x = 89,180 × 89,180
  4. Step 4: Simplify right side
    56,852x = 7,953,072,400
  5. Step 5: Solve for x
    x = 7,953,072,400/56,852
  6. Step 6: Final answer
    x = 139,890.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.