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Finding the Third Proportional to 92,032 and 135,016

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Solution

The third proportional to 92,032 and 135,016 is: 198,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032 : 135,016 = 135,016 : x
  2. Step 2: Convert to fraction form
    92,032/135,016 = 135,016/x
  3. Step 3: Cross multiply
    92,032x = 135,016 × 135,016
  4. Step 4: Simplify right side
    92,032x = 18,229,320,256
  5. Step 5: Solve for x
    x = 18,229,320,256/92,032
  6. Step 6: Final answer
    x = 198,075.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.