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Finding the Third Proportional to 52,596 and 113,676

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Solution

The third proportional to 52,596 and 113,676 is: 245,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596 : 113,676 = 113,676 : x
  2. Step 2: Convert to fraction form
    52,596/113,676 = 113,676/x
  3. Step 3: Cross multiply
    52,596x = 113,676 × 113,676
  4. Step 4: Simplify right side
    52,596x = 12,922,232,976
  5. Step 5: Solve for x
    x = 12,922,232,976/52,596
  6. Step 6: Final answer
    x = 245,688.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.