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Finding the Third Proportional to 95,243 and 145,918

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Solution

The third proportional to 95,243 and 145,918 is: 223,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,243 : 145,918 = 145,918 : x
  2. Step 2: Convert to fraction form
    95,243/145,918 = 145,918/x
  3. Step 3: Cross multiply
    95,243x = 145,918 × 145,918
  4. Step 4: Simplify right side
    95,243x = 21,292,062,724
  5. Step 5: Solve for x
    x = 21,292,062,724/95,243
  6. Step 6: Final answer
    x = 223,555.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.