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Finding the Third Proportional to 85,032 and 167,952

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Solution

The third proportional to 85,032 and 167,952 is: 331,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,032 : 167,952 = 167,952 : x
  2. Step 2: Convert to fraction form
    85,032/167,952 = 167,952/x
  3. Step 3: Cross multiply
    85,032x = 167,952 × 167,952
  4. Step 4: Simplify right side
    85,032x = 28,207,874,304
  5. Step 5: Solve for x
    x = 28,207,874,304/85,032
  6. Step 6: Final answer
    x = 331,732.46

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.