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Finding the Third Proportional to 113,558 and 173,091

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Solution

The third proportional to 113,558 and 173,091 is: 263,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,558 : 173,091 = 173,091 : x
  2. Step 2: Convert to fraction form
    113,558/173,091 = 173,091/x
  3. Step 3: Cross multiply
    113,558x = 173,091 × 173,091
  4. Step 4: Simplify right side
    113,558x = 29,960,494,281
  5. Step 5: Solve for x
    x = 29,960,494,281/113,558
  6. Step 6: Final answer
    x = 263,834.29

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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.