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Finding the Third Proportional to 75,846 and 164,928

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Solution

The third proportional to 75,846 and 164,928 is: 358,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846 : 164,928 = 164,928 : x
  2. Step 2: Convert to fraction form
    75,846/164,928 = 164,928/x
  3. Step 3: Cross multiply
    75,846x = 164,928 × 164,928
  4. Step 4: Simplify right side
    75,846x = 27,201,245,184
  5. Step 5: Solve for x
    x = 27,201,245,184/75,846
  6. Step 6: Final answer
    x = 358,637.83

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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.