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Finding the Third Proportional to 95,720 and 210,736

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Solution

The third proportional to 95,720 and 210,736 is: 463,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,720 : 210,736 = 210,736 : x
  2. Step 2: Convert to fraction form
    95,720/210,736 = 210,736/x
  3. Step 3: Cross multiply
    95,720x = 210,736 × 210,736
  4. Step 4: Simplify right side
    95,720x = 44,409,661,696
  5. Step 5: Solve for x
    x = 44,409,661,696/95,720
  6. Step 6: Final answer
    x = 463,953.84

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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.