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Finding the Third Proportional to 35,716 and 84,186

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Solution

The third proportional to 35,716 and 84,186 is: 198,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 84,186 = 84,186 : x
  2. Step 2: Convert to fraction form
    35,716/84,186 = 84,186/x
  3. Step 3: Cross multiply
    35,716x = 84,186 × 84,186
  4. Step 4: Simplify right side
    35,716x = 7,087,282,596
  5. Step 5: Solve for x
    x = 7,087,282,596/35,716
  6. Step 6: Final answer
    x = 198,434.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.