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Finding the Third Proportional to 95,609 and 210,091

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Solution

The third proportional to 95,609 and 210,091 is: 461,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,609 : 210,091 = 210,091 : x
  2. Step 2: Convert to fraction form
    95,609/210,091 = 210,091/x
  3. Step 3: Cross multiply
    95,609x = 210,091 × 210,091
  4. Step 4: Simplify right side
    95,609x = 44,138,228,281
  5. Step 5: Solve for x
    x = 44,138,228,281/95,609
  6. Step 6: Final answer
    x = 461,653.49

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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.