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Finding the Third Proportional to 66,992 and 145,648

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Solution

The third proportional to 66,992 and 145,648 is: 316,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992 : 145,648 = 145,648 : x
  2. Step 2: Convert to fraction form
    66,992/145,648 = 145,648/x
  3. Step 3: Cross multiply
    66,992x = 145,648 × 145,648
  4. Step 4: Simplify right side
    66,992x = 21,213,339,904
  5. Step 5: Solve for x
    x = 21,213,339,904/66,992
  6. Step 6: Final answer
    x = 316,654.82

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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.