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Finding the Third Proportional to 113,554 and 171,903

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Solution

The third proportional to 113,554 and 171,903 is: 260,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,554 : 171,903 = 171,903 : x
  2. Step 2: Convert to fraction form
    113,554/171,903 = 171,903/x
  3. Step 3: Cross multiply
    113,554x = 171,903 × 171,903
  4. Step 4: Simplify right side
    113,554x = 29,550,641,409
  5. Step 5: Solve for x
    x = 29,550,641,409/113,554
  6. Step 6: Final answer
    x = 260,234.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.