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Finding the Third Proportional to 117,032 and 276,101

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Solution

The third proportional to 117,032 and 276,101 is: 651,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,032 : 276,101 = 276,101 : x
  2. Step 2: Convert to fraction form
    117,032/276,101 = 276,101/x
  3. Step 3: Cross multiply
    117,032x = 276,101 × 276,101
  4. Step 4: Simplify right side
    117,032x = 76,231,762,201
  5. Step 5: Solve for x
    x = 76,231,762,201/117,032
  6. Step 6: Final answer
    x = 651,375.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.