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Finding the Third Proportional to 73,032 and 159,216

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Solution

The third proportional to 73,032 and 159,216 is: 347,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032 : 159,216 = 159,216 : x
  2. Step 2: Convert to fraction form
    73,032/159,216 = 159,216/x
  3. Step 3: Cross multiply
    73,032x = 159,216 × 159,216
  4. Step 4: Simplify right side
    73,032x = 25,349,734,656
  5. Step 5: Solve for x
    x = 25,349,734,656/73,032
  6. Step 6: Final answer
    x = 347,104.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.