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Finding the Third Proportional to 53,500.50 and 80,083.69

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Solution

The third proportional to 53,500.50 and 80,083.69 is: 119,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.50 : 80,083.69 = 80,083.69 : x
  2. Step 2: Convert to fraction form
    53,500.50/80,083.69 = 80,083.69/x
  3. Step 3: Cross multiply
    53,500.50x = 80,083.69 × 80,083.69
  4. Step 4: Simplify right side
    53,500.50x = 6,413,397,003.60
  5. Step 5: Solve for x
    x = 6,413,397,003.60/53,500.50
  6. Step 6: Final answer
    x = 119,875.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.