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Finding the Third Proportional to 95,635 and 210,143

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Solution

The third proportional to 95,635 and 210,143 is: 461,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,635 : 210,143 = 210,143 : x
  2. Step 2: Convert to fraction form
    95,635/210,143 = 210,143/x
  3. Step 3: Cross multiply
    95,635x = 210,143 × 210,143
  4. Step 4: Simplify right side
    95,635x = 44,160,080,449
  5. Step 5: Solve for x
    x = 44,160,080,449/95,635
  6. Step 6: Final answer
    x = 461,756.47

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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.