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Finding the Third Proportional to 95,623 and 210,118

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Solution

The third proportional to 95,623 and 210,118 is: 461,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,623 : 210,118 = 210,118 : x
  2. Step 2: Convert to fraction form
    95,623/210,118 = 210,118/x
  3. Step 3: Cross multiply
    95,623x = 210,118 × 210,118
  4. Step 4: Simplify right side
    95,623x = 44,149,573,924
  5. Step 5: Solve for x
    x = 44,149,573,924/95,623
  6. Step 6: Final answer
    x = 461,704.55

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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.