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Finding the Third Proportional to 95,610 and 210,093

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Solution

The third proportional to 95,610 and 210,093 is: 461,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,610 : 210,093 = 210,093 : x
  2. Step 2: Convert to fraction form
    95,610/210,093 = 210,093/x
  3. Step 3: Cross multiply
    95,610x = 210,093 × 210,093
  4. Step 4: Simplify right side
    95,610x = 44,139,068,649
  5. Step 5: Solve for x
    x = 44,139,068,649/95,610
  6. Step 6: Final answer
    x = 461,657.45

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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.