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Finding the Third Proportional to 52,445 and 113,635

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Solution

The third proportional to 52,445 and 113,635 is: 246,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,445 : 113,635 = 113,635 : x
  2. Step 2: Convert to fraction form
    52,445/113,635 = 113,635/x
  3. Step 3: Cross multiply
    52,445x = 113,635 × 113,635
  4. Step 4: Simplify right side
    52,445x = 12,912,913,225
  5. Step 5: Solve for x
    x = 12,912,913,225/52,445
  6. Step 6: Final answer
    x = 246,218.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.