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Finding the Third Proportional to 70,032 and 151,296

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Solution

The third proportional to 70,032 and 151,296 is: 326,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,032 : 151,296 = 151,296 : x
  2. Step 2: Convert to fraction form
    70,032/151,296 = 151,296/x
  3. Step 3: Cross multiply
    70,032x = 151,296 × 151,296
  4. Step 4: Simplify right side
    70,032x = 22,890,479,616
  5. Step 5: Solve for x
    x = 22,890,479,616/70,032
  6. Step 6: Final answer
    x = 326,857.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.