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Finding the Third Proportional to 104,184 and 161,424

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Solution

The third proportional to 104,184 and 161,424 is: 250,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,184 : 161,424 = 161,424 : x
  2. Step 2: Convert to fraction form
    104,184/161,424 = 161,424/x
  3. Step 3: Cross multiply
    104,184x = 161,424 × 161,424
  4. Step 4: Simplify right side
    104,184x = 26,057,707,776
  5. Step 5: Solve for x
    x = 26,057,707,776/104,184
  6. Step 6: Final answer
    x = 250,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.