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Finding the Third Proportional to 75,019 and 162,916

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Solution

The third proportional to 75,019 and 162,916 is: 353,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,019 : 162,916 = 162,916 : x
  2. Step 2: Convert to fraction form
    75,019/162,916 = 162,916/x
  3. Step 3: Cross multiply
    75,019x = 162,916 × 162,916
  4. Step 4: Simplify right side
    75,019x = 26,541,623,056
  5. Step 5: Solve for x
    x = 26,541,623,056/75,019
  6. Step 6: Final answer
    x = 353,798.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.