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Finding the Third Proportional to 95,146 and 209,126

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Solution

The third proportional to 95,146 and 209,126 is: 459,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146 : 209,126 = 209,126 : x
  2. Step 2: Convert to fraction form
    95,146/209,126 = 209,126/x
  3. Step 3: Cross multiply
    95,146x = 209,126 × 209,126
  4. Step 4: Simplify right side
    95,146x = 43,733,683,876
  5. Step 5: Solve for x
    x = 43,733,683,876/95,146
  6. Step 6: Final answer
    x = 459,648.16

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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.