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Finding the Third Proportional to 52,454 and 83,186

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Solution

The third proportional to 52,454 and 83,186 is: 131,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454 : 83,186 = 83,186 : x
  2. Step 2: Convert to fraction form
    52,454/83,186 = 83,186/x
  3. Step 3: Cross multiply
    52,454x = 83,186 × 83,186
  4. Step 4: Simplify right side
    52,454x = 6,919,910,596
  5. Step 5: Solve for x
    x = 6,919,910,596/52,454
  6. Step 6: Final answer
    x = 131,923.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.