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Finding the Third Proportional to 95,959 and 202,989

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Solution

The third proportional to 95,959 and 202,989 is: 429,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,959 : 202,989 = 202,989 : x
  2. Step 2: Convert to fraction form
    95,959/202,989 = 202,989/x
  3. Step 3: Cross multiply
    95,959x = 202,989 × 202,989
  4. Step 4: Simplify right side
    95,959x = 41,204,534,121
  5. Step 5: Solve for x
    x = 41,204,534,121/95,959
  6. Step 6: Final answer
    x = 429,397.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.