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Finding the Third Proportional to 36,100 and 83,566

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Solution

The third proportional to 36,100 and 83,566 is: 193,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100 : 83,566 = 83,566 : x
  2. Step 2: Convert to fraction form
    36,100/83,566 = 83,566/x
  3. Step 3: Cross multiply
    36,100x = 83,566 × 83,566
  4. Step 4: Simplify right side
    36,100x = 6,983,276,356
  5. Step 5: Solve for x
    x = 6,983,276,356/36,100
  6. Step 6: Final answer
    x = 193,442.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.