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Finding the Third Proportional to 113,562 and 173,097

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Solution

The third proportional to 113,562 and 173,097 is: 263,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,562 : 173,097 = 173,097 : x
  2. Step 2: Convert to fraction form
    113,562/173,097 = 173,097/x
  3. Step 3: Cross multiply
    113,562x = 173,097 × 173,097
  4. Step 4: Simplify right side
    113,562x = 29,962,571,409
  5. Step 5: Solve for x
    x = 29,962,571,409/113,562
  6. Step 6: Final answer
    x = 263,843.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.