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Finding the Third Proportional to 53,550 and 80,163

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Solution

The third proportional to 53,550 and 80,163 is: 120,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,550 : 80,163 = 80,163 : x
  2. Step 2: Convert to fraction form
    53,550/80,163 = 80,163/x
  3. Step 3: Cross multiply
    53,550x = 80,163 × 80,163
  4. Step 4: Simplify right side
    53,550x = 6,426,106,569
  5. Step 5: Solve for x
    x = 6,426,106,569/53,550
  6. Step 6: Final answer
    x = 120,001.99

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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.