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Finding the Third Proportional to 56,529 and 83,107.50

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Solution

The third proportional to 56,529 and 83,107.50 is: 122,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,529 : 83,107.50 = 83,107.50 : x
  2. Step 2: Convert to fraction form
    56,529/83,107.50 = 83,107.50/x
  3. Step 3: Cross multiply
    56,529x = 83,107.50 × 83,107.50
  4. Step 4: Simplify right side
    56,529x = 6,906,856,556.25
  5. Step 5: Solve for x
    x = 6,906,856,556.25/56,529
  6. Step 6: Final answer
    x = 122,182.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.