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Finding the Third Proportional to 52,578 and 113,175

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Solution

The third proportional to 52,578 and 113,175 is: 243,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578 : 113,175 = 113,175 : x
  2. Step 2: Convert to fraction form
    52,578/113,175 = 113,175/x
  3. Step 3: Cross multiply
    52,578x = 113,175 × 113,175
  4. Step 4: Simplify right side
    52,578x = 12,808,580,625
  5. Step 5: Solve for x
    x = 12,808,580,625/52,578
  6. Step 6: Final answer
    x = 243,611.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.