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Finding the Third Proportional to 113,894 and 173,649

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Solution

The third proportional to 113,894 and 173,649 is: 264,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,894 : 173,649 = 173,649 : x
  2. Step 2: Convert to fraction form
    113,894/173,649 = 173,649/x
  3. Step 3: Cross multiply
    113,894x = 173,649 × 173,649
  4. Step 4: Simplify right side
    113,894x = 30,153,975,201
  5. Step 5: Solve for x
    x = 30,153,975,201/113,894
  6. Step 6: Final answer
    x = 264,754.73

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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.