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Finding the Third Proportional to 52,524 and 80,406

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Solution

The third proportional to 52,524 and 80,406 is: 123,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 80,406 = 80,406 : x
  2. Step 2: Convert to fraction form
    52,524/80,406 = 80,406/x
  3. Step 3: Cross multiply
    52,524x = 80,406 × 80,406
  4. Step 4: Simplify right side
    52,524x = 6,465,124,836
  5. Step 5: Solve for x
    x = 6,465,124,836/52,524
  6. Step 6: Final answer
    x = 123,088.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.