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Finding the Third Proportional to 35,166 and 83,013

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Solution

The third proportional to 35,166 and 83,013 is: 195,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,166 : 83,013 = 83,013 : x
  2. Step 2: Convert to fraction form
    35,166/83,013 = 83,013/x
  3. Step 3: Cross multiply
    35,166x = 83,013 × 83,013
  4. Step 4: Simplify right side
    35,166x = 6,891,158,169
  5. Step 5: Solve for x
    x = 6,891,158,169/35,166
  6. Step 6: Final answer
    x = 195,960.82

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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.