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Finding the Third Proportional to 53,666.93 and 80,500.39

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Solution

The third proportional to 53,666.93 and 80,500.39 is: 120,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,666.93 : 80,500.39 = 80,500.39 : x
  2. Step 2: Convert to fraction form
    53,666.93/80,500.39 = 80,500.39/x
  3. Step 3: Cross multiply
    53,666.93x = 80,500.39 × 80,500.39
  4. Step 4: Simplify right side
    53,666.93x = 6,480,313,519.69
  5. Step 5: Solve for x
    x = 6,480,313,519.69/53,666.93
  6. Step 6: Final answer
    x = 120,750.59

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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.