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Finding the Third Proportional to 53,529.19 and 80,164.69

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Solution

The third proportional to 53,529.19 and 80,164.69 is: 120,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529.19 : 80,164.69 = 80,164.69 : x
  2. Step 2: Convert to fraction form
    53,529.19/80,164.69 = 80,164.69/x
  3. Step 3: Cross multiply
    53,529.19x = 80,164.69 × 80,164.69
  4. Step 4: Simplify right side
    53,529.19x = 6,426,377,121.97
  5. Step 5: Solve for x
    x = 6,426,377,121.97/53,529.19
  6. Step 6: Final answer
    x = 120,053.70

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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.