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Finding the Third Proportional to 64,544 and 140,032

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Solution

The third proportional to 64,544 and 140,032 is: 303,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,544 : 140,032 = 140,032 : x
  2. Step 2: Convert to fraction form
    64,544/140,032 = 140,032/x
  3. Step 3: Cross multiply
    64,544x = 140,032 × 140,032
  4. Step 4: Simplify right side
    64,544x = 19,608,961,024
  5. Step 5: Solve for x
    x = 19,608,961,024/64,544
  6. Step 6: Final answer
    x = 303,807.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.