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Finding the Third Proportional to 95,612 and 210,097

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Solution

The third proportional to 95,612 and 210,097 is: 461,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,612 : 210,097 = 210,097 : x
  2. Step 2: Convert to fraction form
    95,612/210,097 = 210,097/x
  3. Step 3: Cross multiply
    95,612x = 210,097 × 210,097
  4. Step 4: Simplify right side
    95,612x = 44,140,749,409
  5. Step 5: Solve for x
    x = 44,140,749,409/95,612
  6. Step 6: Final answer
    x = 461,665.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.