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Finding the Third Proportional to 74,032 and 101,204

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Solution

The third proportional to 74,032 and 101,204 is: 138,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,032 : 101,204 = 101,204 : x
  2. Step 2: Convert to fraction form
    74,032/101,204 = 101,204/x
  3. Step 3: Cross multiply
    74,032x = 101,204 × 101,204
  4. Step 4: Simplify right side
    74,032x = 10,242,249,616
  5. Step 5: Solve for x
    x = 10,242,249,616/74,032
  6. Step 6: Final answer
    x = 138,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.