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Finding the Third Proportional to 95,100 and 201,810

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Solution

The third proportional to 95,100 and 201,810 is: 428,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,100 : 201,810 = 201,810 : x
  2. Step 2: Convert to fraction form
    95,100/201,810 = 201,810/x
  3. Step 3: Cross multiply
    95,100x = 201,810 × 201,810
  4. Step 4: Simplify right side
    95,100x = 40,727,276,100
  5. Step 5: Solve for x
    x = 40,727,276,100/95,100
  6. Step 6: Final answer
    x = 428,257.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.