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Finding the Third Proportional to 74,476 and 145,212

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Solution

The third proportional to 74,476 and 145,212 is: 283,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,476 : 145,212 = 145,212 : x
  2. Step 2: Convert to fraction form
    74,476/145,212 = 145,212/x
  3. Step 3: Cross multiply
    74,476x = 145,212 × 145,212
  4. Step 4: Simplify right side
    74,476x = 21,086,524,944
  5. Step 5: Solve for x
    x = 21,086,524,944/74,476
  6. Step 6: Final answer
    x = 283,131.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.