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Finding the Third Proportional to 79,848 and 173,862

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Solution

The third proportional to 79,848 and 173,862 is: 378,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,848 : 173,862 = 173,862 : x
  2. Step 2: Convert to fraction form
    79,848/173,862 = 173,862/x
  3. Step 3: Cross multiply
    79,848x = 173,862 × 173,862
  4. Step 4: Simplify right side
    79,848x = 30,227,995,044
  5. Step 5: Solve for x
    x = 30,227,995,044/79,848
  6. Step 6: Final answer
    x = 378,569.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.