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Finding the Third Proportional to 75,032 and 164,827

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Solution

The third proportional to 75,032 and 164,827 is: 362,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032 : 164,827 = 164,827 : x
  2. Step 2: Convert to fraction form
    75,032/164,827 = 164,827/x
  3. Step 3: Cross multiply
    75,032x = 164,827 × 164,827
  4. Step 4: Simplify right side
    75,032x = 27,167,939,929
  5. Step 5: Solve for x
    x = 27,167,939,929/75,032
  6. Step 6: Final answer
    x = 362,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.