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Finding the Third Proportional to 113,878 and 173,571

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Solution

The third proportional to 113,878 and 173,571 is: 264,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,878 : 173,571 = 173,571 : x
  2. Step 2: Convert to fraction form
    113,878/173,571 = 173,571/x
  3. Step 3: Cross multiply
    113,878x = 173,571 × 173,571
  4. Step 4: Simplify right side
    113,878x = 30,126,892,041
  5. Step 5: Solve for x
    x = 30,126,892,041/113,878
  6. Step 6: Final answer
    x = 264,554.10

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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.